The agreement you have with Air BnB will spell out dispute resolution procedures. Suing isn't one of them.

Same answer as before. On both points.

Yes, you can be kicked out. And I think your theology is incorrect.

While your interpretation of what she meant is different from the school's, it is not a false allegation. You admit she did what she was accused...

Yes. This is very common..............................................

This is not grounds for a lawsuit. A complete waste of time.

You would not appear to have any grounds to sue the school.

Unless you know how to try a jury trial, the answer is to consult a criminal defense attorney, and quit posting on an open Internet forum.

Probably not. Shopkeepers are allowed to do what they did if they think you were stealing, even if they were wrong.

No, because when you signed up to use ETSY you agreed not to.