If I were you I would close the ticket and just accept the punishment..... let me explain. They never actually reverse bans on anything that is borderline bad behavior (you would have to be totally 100 percent innocent). But alternatively, they can worsen your punishment. FYI, I once sent in a support ticket for an explanation and they upgraded the 2 week ban to a perma ban. So I would say there is nothing to gain, and something to lose.
I can tell you that if you got a 2 week ban it because a RIOTer did a manual review of the account for one of the following:
AFK, intentional feed, or verbal harrasment (in pre lobby, after game lobby, or ingame- that didnt trigger the automated ban)
So yah, close the ticket as resolved and just accept the punishment. Also, never ever deposit money in any account you create in the future or any game they develop in the future.