Laurine,
Welcome to the forum. In the future please remember that it's best to start a new topic than to reactivate an old one.
As for your Question:
FL 720, section 305(2)(b), specifies that no "officers, directors, or employees of the association, or the spouse, parent, child, brother, or sister of an officer, director, or employee" may serve on a committee that holds hearings for fines.
However, that is the only section I could find any limitation in. They can serve or chair any other committee (as the statutes are silent on that).
You did not say if you were in a condominium or not. Typically FL 718 has similar provisions as in FL 720, but you need to check to be sure.
Link to FL 718 Link to FL 720