So I re-did the agent info I hope this is much better. :)

Agent Linda

Home continuum: Pokémon (anime)

Age: 21

Department: DMS

Leagues: Sinnoh (top 64 in the Lily of the Valley Conference), Johto (top 60 in the Silver Conference), Unova (top 48 in the Vertress Conference), and was unable to compete in the Kalos Conference (joining the PPC being the reason) but did get all eight badges
(Note: did not compete alongside Ash Ketchum, competed long after him)

Personality: Linda is an energetic, social, and bold young lady with a love of adventure and discovery. Sometimes when she gets extremely focused on something, she forgets everything else around her. This does not get too bad as long as there is someone to help her keep track (usually Dean). Linda thinks the PPC is the best place to be; a new and exciting adventure every second, new and interesting people to see and meet (even if they are Mary sues, for they are always interesting), and every time she gets back to their RC she knows she helped the word world for the better. She also loves to draw, so it’s not oncoming to see her doodling in her sketch book form time to time.

Backstory: Linda and Dean were just your average Pokémon trainers, until they got sucked into a plothole. Lucky for them they were sucked straight into the PPC. After some explaining, Linda was instantly hooked on the idea of joining the PPC and became an agent alongside her bother. While there she and Dean became friends with another new agent named Tabitha (a magical girl) and since then they have occasionally joined each other on missions (when it is appropriate).

Skills: If there’s one thing Linda’s an expert on, its parings (or ships/shipping) she even has an art book dedicated to keeping track of canon parings, OTPS, popular fan parings, and popular crack parings. She prefers hand-to-hand combat over long-ranged (mostly due to being a very bad shot) but after receiving a battlespork of zillywut, she has been learning how to wield it properly. Both Linda and Dean own a mega ring.


Agent Dean

Home continuum: Pokémon (anime)

Age: 21

Department: DMS

Leagues: Sinnoh (winner in the Lily of the Valley Conference, also hall of famer), Johto (top 4 in the Silver Conference), Unova (top 4 in the Vertress Conference), and was unable to compete in the Kalos Conference (joining the PPC being the reason) but did get all eight badges
(Note: did not compete alongside Ash Ketchum, competed long after him)

Personality: Dean is a friendly and intelligent but is very quiet and prefers to ether be alone or with Linda and/or Tabitha. Dean actually has aspergers; as such he is very awkward in conversations and does not understand non-verbal cues at all, he also likes it when commands that given to him are very specific (which is why when he makes plans he tends to over think and over detail them). Dean is the kind of AS person who dose like physical contact (as long as it’s friendly and what he deems appropriate). Even though he has AS he dose like the life of a PPC agent (even though he is still getting use to the change) mostly for the fact that he can now do something about tough’s terrible fanfics and Mary sues. He also enjoys sewing and is very good at it.

Backstory: Dean and Linda were just your average Pokémon trainers, until they got sucked into a plothole. Lucky for them they were sucked straight into the PPC. After some explaining, Linda was instantly hooked on the idea of joining the PPC, Dean on the other hand was very unsure (to say the least). He was scared but didn’t want to stand in between Linda and what she considered her dream P.T. retirement job (or worse, have her join and leave him behind). After some taught he joined with his sister as his partner. While there he and Linda became friends with another new agent named Tabitha (a magical girl) and since then they have occasionally joined each other on missions (when it is appropriate).

Skills: Dean loves to learn about new fandoms and will learn as much as he can about them. Between the twins he is the one who makes the plans, though he over thinks them a lot. He is near sighted but this is not that big of a problem. Dean’s preference in combat is guns, mostly pistols, but he is also very reliable when it comes to medical aid. Both Dean and Linda own a mega ring.

Also I re-did Linda’s and Dean little bio pages, nothing to big in my opinion but I thought I should still tell and show: http://123bugsy-universe.tumblr.com/

I know that I’m trending on some prickly ground here but I think I can make this work with Dean having AS. As usually tell me what needs fixing and I’ll fix it as soon as I can. :)

My revised agent profiles for you guys to dissect. Sorry 'bout the hijack, 123bugsy.

RC#7149 - Department of Floaters

Formerly the All-Purpose Yugioh Department, but I can't write duels to save my life, it seems.

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Agent Jackets

Home continuum: World 1

Species: Human

Class: College Student/Amateur Duelist/Floater

Personality: Jackets is a jumpy, polite, absent-minded introvert with a nigh-insatiable thirst for knowledge and a fondness for books, SCIENCE and body horror. She also has self-esteem issues, which she is trying to overcome. She is very loyal to the organization and a stickler for rules. She truly believes that since the PPC rescued her, she owes them her life.

Backstory: Jackets was a was a college student who has found herself sucked straight into a Yugioh GX badfic. She was eventually rescued by the PPC, but instead of returning to World 1, she renounced her old name and joined the PPC as a chance to save her beloved Word Worlds from badfic mayhem and repay the PPC.

Skills: Jackets has a good grasp of multiple canons, but there are a lot of TV shows and books she is totally cluless about. She is also well-read in a number of subjects and is often seen reading books on varying subjects, even during missions. She has shown a preference to using poisons and nasty chemicals.

She absolutely has no sense of direction, and has to rely on either Catharsis or SP in order not to get lost.

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SP

Home Continuum: Yugioh GX

Species: Duel Spirit (Specifically, D.D. Scout Plane)

SP is Jackets' Spirit Partner. She found the card while wandering about and decided to keep it, since she always wanted to have Different Dimension cards. She cannot see it (yet), but she can hear it on occasion.

It is easily exasperated, but it always does its best to help her.


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Agent Catharsis

Home continuum: Fire Emblem 8

Species: Human

Class: Summoner

Personality: Catharsis is intelligent, overworked, willing to please and kind (a bit too kind for a PPC agent), with a large number of neuroses and a rather weak stomach. He is easily nauseated, disgusted and disturbed by badfic shenanigans, and has a crippling fear of humanoid abominatons. In spite of this, he is determined to do what he considers the right thing.

Backstory: Catharsis was one of Prince Lyon's researchers during the events of FE8. He went by a different name back then. He was supposed to have been killed during the events of the game, but he barely survived via accidentally transporting himself to the PPC with a warp staff. After some of his initial shock has worn off, he volunteered to join the PPC.

Skills/Traits: Catharsis has an absurd magic resistance that can act as a repellant against ambient magic and magical versions of Aura of Smooth. (As to how much he can resist is unknown, as he is terrified of Mary Sues and variants thereof.) As a FE8 Summoner, he is also capable of using Dark magic along with the ability to use staves and summon semi-disposable units called "Phantoms".

He could also see things other people couldn't. This may be the reason he is terrified of Sues. (Wobbles the Clown just plain freaks him out though. Sorry, Wobbles.)

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I'm a lousy shot myself, so I may be missing something here, but I'm not quite getting why "Dean is a decent shot despite being far sited". Far-sightedness means Dean can see clearly at distance but has problems at close-range. If he sticks with long-range attacks, it shouldn't interfere.

Subjectivity first: Yay, you used my gifts! The little Lord Vyce is absolutely adorable, and now I'm wondering what sort of fighting style one would use with a battlespork. It would probably involve lots of thrusting and blocking, since the sharp bits are only on the end, but there's both space between the sharp bits to intercept a weapon and only a small amount of blade that a block could conceivably dull. I've always hated the way that swordfights look in movies, with people constantly slamming the blades of their swords together while they fight. Maybe you can get away with that if your sword was indestructible, or made of plasma like a lightsaber is, but if you're using a metal blade, you're just going to be getting all kinds of chips in it if you smash the sharp part against someone else's sharp part.
Also, in unrelated news, you putting Linkara and Wheatley so close to each other on Linda's favorites list is making me imagine a probably altogether-too-large number of Atop the Fourth Wall/Portal crossovers. My favorites are probably corrupted!Nimue teleporting Linkara down into Comicron One's inner structure and forcing him to portal-gun through the corridors to escape, since it would be the only way to outwit her sensors, and Lord Vyce's living data form taking over a personality core. It's only blue portals from here on out.

Okay, now to what I really came here for: analysis. First, I'm not seeing anything on this "Tabitha". If she is intended as the Atwoods' partner, she should have a section as well, so that we can see what they look like as a team as well as individuals.
When two people are partners, they would normally need to share an RC and Department. There is nothing wrong with having a brother and sister work in different portions of the PPC, but they would need separate partners in order to do that, because Departments are not interchangeable. If Linda got a Bad Slash overflow mission as part of her Floaters job, would Dean simply not be able to go with her? His purview is Mary Sues, and doesn't necessarily overlap with Bad Slash, but if the two Atwoods were partners, they would need to go on all of their missions together. And if Linda just decided to only go on Mary Sue-related missions so that she could be with her brother, wouldn't it be easier to just transfer to the DMS?
Also, if you are planning on submitting a Permission piece soon, you are going to need to get it betaed before submitting it here, to ensure that you keep spelling and capitalization in order. Saying that someone is skilled in "long-range" attacks is very different from saying that he is skilled in "long-raged" attacks, for example, and "the Board" is very different from "the broad", not to mention a few other miscellaneous mistakes. One swapped letter implied that Dean is capable of causing pain at a distance through the power of his anger, and not only does the Word World jump all over things like that, it just doesn't look very good.
You probably are going to need to explain the "a Mary Sue killed their mother with plot holes that sent them to the PPC" angle before getting much farther. Not only is that pretty dark, it raises a few significant questions, "Why did the Sue attack their mother in the first place?" and "How and why did the Sue open a plot hole to the PPC?" being the big ones. In addition, having "a relative was killed by (opponent), so (protagonist) swore vengeance on all (opponent)s" is one of those bits of backstory that will need to affect the story in some way, or it runs the risk of being trivialized, which is a nasty badfic trait. When you get right down to it, the immediate death of a presumably-beloved family member would have a sizable effect on someone's psyche, and you don't want to run the risk of being comparable to the Sues that have their whole species slaughtered in front of them, but then cheerily go off on adventures and romance a main character and are never affected by their horrible tragedy ever again. It's shaky ground, is what I'm trying to say, because following through could easily be too dark for the PPC, but not following through would be trivializing death.
Their personalities are very bare-bones, but seem decent enough so far. You'll need to elaborate on a few more traits before their final form, but what they have now is a good basis to build off of.

Lastly, miscellaneous questions.
Why does Dean have a mini-sewing machine? What does he use it for? Making tiny scarves for mini-Turrets?
Which version of the Pokémon continuum are they from? The games, the anime, or one of the manga?
When did they pick up all of their fandoms and technology? I suppose the former could be explained away by saying that they showed affinity for them during agent training, but as for the latter, I don't recall the Pokémon continuum having smart phones and wireless Internet. I'd almost say that the continuum seems to have the rough technological level of the 1990s, but it has matter-to-energy conversion, giant airships, the ability to restore life from lifeless material, and whatever process was responsible for creating Golurk and Claydol, so that's not right.

lets just have it be a random plothole, the whole 'a Mary sue killed our mom' just seems to wangsty to me now so I just want to scrap it now. :)