You have made a statement. You have not asked a question. Not sure what you are seeking.

You will have to speak to a lawyer in Costa Rica about suing them there.

Never speak to the cops without first speaking to a lawyer, in person, in confidence.

That is actually a fairly common way to do things. Not intimidation. Not illegal.

File with insurance company. Sue in small claims court.

Not a legal matter at all, but a school matter..................

No you cannot sue a church for what it teaches..............

It is possible to sue anyone successfully, depending on all of the facts, the contract you signed, etc.

She can, and you are no longer obligated to support her.

Quite simply, this is not a legal matter. Go to another vet.