as far as i know, once account got banned, you will not have any chance to have it unban, the damn jagex banned many pure accounts, and locked thousands of nice accounts.
lol i got banned like 5 months ago for saying ass hole, i sent in an unban request saying
"you think assholes a bad word*remove the ****'s ur self thisis crazy* u F****** N****** you guys are F****** stupid, did ur parents rape u when u were a lil S***? unban my F****** acc or i iwll S*** in ur mouth."
They didn't say sorry, the same thing happened to me in Oct 05. Back then they had 3 strikes and you were banned then they changed it to 10 blackmarks, so the accounts that had gotten banned before the change were unbanned.