I have a few issues with this.

First of all, your bios are not very detailed. There is no mention of age, physical appearance, or gender, though I was able to guess that from the names. The bullet-point list isn't giving me very much information about their personalities - lust objects, weapons of choice and so on are barely mentioned. I feel like you haven't really fleshed them out.

There are several typos and grammatical or punctuation errors both in your bios and the writing sample. A few of the more glaring onces:
* (I have no dount they'll take on more fandoms as I watch and read more.)
* Of course [the] Rule of Flowers are Bastards will mean these'll show up too.
* You're also missing a lot of commas and, in a few cases, semi-colons.
This gives me the impression that you didn't take the time to re-read your submission before presenting it. Tell me, do you have a beta-reader?
(Also, this is the first I've heard of a "Rule of Flowers are Bastards". There is no such rule. Now, such things are find when in the dialogue of a grumpy agent - we're a sarcastic lot - but it doesn't really belong in bios.)

Your writing sample doesn't make me laugh. I know that's a terribly subjective thing to complain about, but a hundred-word paragraph describing the contents of someone's bag isn't particularly appealing. We ask for writing samples because, as the Permission article says, "We want to see whether you can write well, basically." This isn't a fatal 'error', but it's not helping, either.

Content issues:
* HQ does not have an outside. It exists in a plothole, and only an entrance exists in World One. Your writing implies that PPC HQ is inside a real-world mountain, and whether or not that was your intention, it's wrong. You'll have to change it.
* We do have rather tight security. Talk to the Dandelions if you don't believe me. Simply leaning on a door will not gain entry.
* (2). I may have misunderstood the idea behind HQ slightly. Yes, I'm afraid you have. The interior of PPC HQ does not resemble (let alone exist as part of) various fandom locations; it's all generic grey corridor and rooms, even though the plotholes themselves may be 'in' various fandoms.

As I didn't read your writing sample last time, I cannot make comparisons there there, but my biggest discomfort comes from the fact that you don't seem to have a grasp on some of the PPC fundamentals, and that there are very few changes to your agent bios compared to the last time you requested Permission.

For the moment, I'm sorry: Permission denied. I'll ask other PGs for a second opinion, but for now, I'd like to ask you to re-read the Original Series just to get a better grip on how they decided HQ works, and then re-write your writing sample.