You have shown to us that it us normal for all of us to make mistakes once in a while and the problem I have with some mods and admins of some communities is that they never understand when others make these mistakes.

Yes, I have already met this. I've seen people accused of using different accounts, even though there wasn't enough evidence that they were doing it for the purpose of fraud. In such a case, it is impossible to prove yourself right. The only way out is to leave such a community and write in another.