The issue is not resolved, because the OP has not provided Hilton with the information they requested.

If you have time to post online about it, and have time to write the CEO about it, you have time to send in the paperwork they have requested.

The standard Flyertalk answer is to put it in dispute and let the credit card companies handle it which will probably work, but the hotel could fight the dispute saying the OP has not provided the information they requested.