1) They banned you for a reason, what would be the point of banning people if they'd just unban at request. Makes no sense whatsoever.
2) >> "Because I have video(s) of me playing QL, and I want them to look at it to get me unbanned."
Again this makes no sense. What does that prove?
I have a feeling I am going to have to spell this out so: lets say you cheated (and looking at your profile it looks like you cheated), playing some games with your cheats off is not going to prove anything.
How dumb do you think the game developers are exactly?