You don't mention anything in your post that the police allegedly did wrong.

They own the store. They can ban you for any, or no, reason so long as it isn't based on race, gender, age, etc.

Lawsuits are expensive and time consuming. Speak to the Dean and then work your way up.

If you plead guilty you were not wrongly convicted. You should speak to your lawyer about withdrawing your plea.

None of us has a crystal ball or Ouija Board.

Not grounds for a lawsuit IMO....................

You can't. You handle it through an appeal or at trial.

That would be up to a court to decide. You have to decide if it is worth the risk.

Depends on the laws of Aruba, which we don't know.

You are entitled to a refund. That's it.