a)No, but I expect a feat/PrC to come for this. (Assault blast allows you to make a special action. Maneuvers allow you to make a special action.Maybe! I thought the answer was no, but an attack action is 'any time you'd make an attack', and technically, most maneuvers give you attacks, so...
b) Yes. You're making an attack, you get sneak attack on it.
c) Yep. You get an attack action as part of a charge.
d,e,f) Yes, definitely.
...and I have my own question. Is it possible to use an Imbue illumination to charge your weapon, and then to use an Assault blast, thereby ending up with one attack that does double your normal illumination damage?