 This is a two-part clinical study of patients with recurrent Head and Neck Cancer HNC, who in the opinion of their physician, cannot be satisfactorily treated with surgery, radiation or platinum chemotherapy. The purpose of the study is to determine the safety and anti-cancer activity of various doses and repeated cycles of the experimental treatment using the study drug RM-1929 and fixed amounts of red light applied at the tumor site to activate the pharmacodynamics of the drug. 