First off, that's pretty gross. Second off, yes it could. You need to hire a lawyer and defend the charge.

Of course not..............................................

No you can't. You had your chance to defend yourself.

Of course they can. Otherwise, people could put up No Trespassing signs and commit crimes with impunity.

How can I sue ubisoft for banning me for another’s person fault? You can't.

IMO You have no recourse. You can file a complaint with the State Judicial Conduct commission but disagreeing with a judge's decision is not...

We have no idea what kind of appeal you are talking about, so it is impossible to answer.

One cannot sue for what "could" have happened, only for what actually happened. In your case, fortunately nothing happened.

You can, but cost of doing so may be more than the amount in dispute.

You can but you won't. Why? Because the cost of doing so is undoubtedly more than the cost of a pair of shoes.