If someone is too much spammer and got banned, that's something else but if they haven't got banned for spamming then he deserves a 2nd chance in such a case.
I have advised the OP to make one statement that he wants to get forgiveness for his mistake by not repeating the same mistake and also by banning signature on his profile. I think the admin will agree with the OP's request if in the end the OP makes statement like that, but I don't know if the OP will do it or even expect more from the admin.
That's the most likely solution the OP is considering, it's meant to be a conditional pardon so as not to cause too much mess in the other cases.