Can I charge a hotel who refused to allow me to check in?

The purpose of this site is to answer questions on-line and not for documents to be sent via e-mail. Even if they acted incorrectly, unless it was because of your race, ethnic origin, gender or other protected class, you probably would not be able to recover anything more than the difference in price with a more expensive motel you had to stay at plus a little compensation for the time you had to spend. Write to the person at the corporate office who is in charge of customer complaints, sending them a detailed message with all paperwork you have and stating why you feel the the local hotel you tried to check into acted incorrectly, and ask for a dollar amount of compensation.

Generally, a hotel has a right to refuse service to someone for legitimate, non-discriminatory reasons (e.g., "No shoes, no shirt, no service").