There is some evidence that the best treatment for head and neck cancer involves a combination of radiation therapy and chemotherapy. Radiation therapy is a form of cancer treatment using high energy x-rays. Chemotherapy is a form of cancer treatment that uses special medications. This study uses two chemotherapy drugs (Taxol and Carboplatin), which are FDA approved for treating head and neck cancers. This treatment combination has been associated with difficulty, pain, or a burning sensation upon swallowing (called esophagitis), and decrease in blood cells (cells in the blood which fight against infection). The purpose of this study is to investigate whether the addition of another drug, Amifostine, can reduce the side effects of current combination treatment (radiation and chemotherapy which is standard of care). The addition of Amifostine is the investigational part of the study. The research study is also looking at the side effects of Amifostine and cancer's growth response to this combination treatment.