Does JC unban accounts because they unbanned my one
It's rare that they do unban accounts. Did you send a unban request to them at some point? It's possible if you can cast a reasonable amount of doubt that you are cheating then they may unban.
Also to be on the safe side, I recommend that you don't "cheat" on that account for a week or two, as it's possible that they will be monitoring for suspicious activity.