Don't know what a FR conviction is but what you may be talking about is FR on a driving record. In that context, it means financial responsibility, as in a license suspension due to lack of financial responsibility (insurance).
Mr. Epifanio provides a logical response. If it doesn't make sense to you under the circumstances feel free to call my office. We can try to figure it out.
Have you check to see if you license is suspended at FDHSMV? If it is. You should contact Mr. Mosca or get on the ball quickly. Please click on the website, it does not cost anything. Thank you.