I'm banned from a minecraft server, and the server don't unban me, what could I do to be unbanned?

The ban I got was without reason, it was a misconception, but they don't believe me, because of what I did before:
http://manacube.com/bans/user?user=Nimeton2002
I'm also banned from the server forums.

Please don't say that it was my own fault and if i didn't do anything then it wouldn't happen, I already know that.

How could I convince them to unban me, that is what I'm asking

Welp, you can copy the world you were in or suck it up and get a new server. Sorry.

Quite possibly so… Who knows.