The issue is what would have been different had you been told right away. Medical malpractices are very expensive to bring so most lawyers won't take a malpractice case unless there a significant injury. Having to take medicine probably won't be sufficient for a lawyer.
You would have to prove that the hotel either created the dangerous condition or had actual or constructive notice of it. As for damages, I don't think a sprained ankle warrants the time and costs that goes into the lawsuit.
Consult with a personal injury attorney. There is a difference between getting no-fault coverage and being able to recover for pain and suffering. To get pain and suffering you need to show you suffered "serious injury" as defined in the Insurance Law.
A .20 is very high.
I would be careful about broadcasting that you called in a favor... someone can get in real trouble.
You should hire a criminal defense lawyer. I can't imagine a judge would let you plead guilty to a crime without a lawyer.