Are you guys serious? He says he didn't cheat- you immidiatly assume he cheated and is lieing about it. He stays strong saying he didn't cheat. You say that "Three or four" people tested the problem without even looking at the fact if he's got a poor connection your "Three to four" tests could be under completely different circumstances- continue to insist he's cheating. He continues to insist he isn't. Moderator jokes that he's waiting for an admission of guilt. Capt Cole immidiatly responds with an obviously false admission of guilt- then better explains his situation. Your response Oaky is "So you're a liar too?". Well since he was banned for "cheating" and you immidiatly decide that he's a Liar for "admitting" his guilt, I guess he's unbanned now, since you just agreed he didn't cheat.
Even if that's not what you meant, I'd say the fact that he's still trying to get unbanned pretty much speaks for his story, any actual cheater would have just moved on to another set of servers by now. Hell, he might have handled the situation poorly (Caving to peer pressure, shame on you Capt.) but I pretty severly doubt you admins have any real reason to keep him banned after this mess.