So, I've been having another go at the roster and seeing what it can do. Here's some adjustments I've made:-

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0-16 Generic Agent | MA6 ST3 AG3 AV7 | Jump Up, Fend | Normal: G | Double: ASP | 70,000 Gold
0-4 DBS Exorcist | MA6 ST3 AG4 AV7 | Tackle, Wrestle | Normal: GA | Double: SP | 90,000 Gold
0-4 DMS Assassin | MA7 ST3 AG4 AV7 | Dodge, Stab | Normal: GS | Double: AP | 100,000 Gold
0-2 DoSAT Technician | MA6 ST3 AG3 AV7 | Secret Weapon, Bombadier, Pass, Hail Mary Pass | Normal: GA | Double: SP | 110,000 Gold
0-2 ESAS Operative | MA8 ST3 AG3 AV7 | Block, Claw, Pro | Normal: GAS | Double: P | 120,000 Gold

Apothecary: Yes

Reroll Cost: 50k

Star Players: Human, Norse, Amazon

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So, the rationale with this team is that you can control the field with your linemen and give your more esoteric positionals more breathing room. Fend and Jump Up is a very strong combination, allowing your players to prevent opponents from following up after a block and then letting them get up (if they get knocked down) and move their full movement allowance of 6 squares instead of paying the 3 square penalty to get up. Meanwhile, you have your Wrestle pieces to shore up the line of scrimmage, your Stab pieces for those times when you need to make a bad block or are stuck in place, your Secret Weapon pieces that can hurl explosives the length of the field, and a brace of dedicated blitzing pieces that have very high movement and can mangle high-armour opponents courtesy of Claw. It's a very versatile roster, all things considered, and it might be fun in a tournament setting. =]

So how does this work, exactly?

Apothecary: YES
Reroll cost: 50,000 gold
Star Players: Human, Amazon

Haven't tried BB yet. But they just announced new Lizardmen minis so I may get into it. Also, the title of your post gave me an idea:
PPC Blood Bowl League.