If I understand the op correctly, he was initially banned on this forum for paraphrasing, which in other words, we could say he was plagiarizing.
If this is what he meant by being given a second chance, then I think or would assume that he is right afterall, for not all or very many users that was or were banned for the same reason had the opportunity of coming back to this forum with the same account, most of users in that category who are here today simply create a new account and started afresh.

@op, welcome back to the forum, and from all that you have said, I assume you have learnt your lessons from past mistakes, and have well equipped yourself this time to make sure same mistake doesn't happen again.