I think it really depends on if you were using client mods, such as fly or x-ray mods. Sever admins tend to call them "hacks" As for the griefing part, they could really only have proof if they had LogBlock or some sort of anti-grief plugin installed, so they detect who broke what block at what time.
Perhaps you can send a ban appeal to their forums/site if they have one?
Perhaps you can send a ban appeal to their forums/site if they have one?