 In this study, we will find what effects good and bad Cetuximab and Pemetrexed, with radiation; have on you and on your head and neck cancer. We will find out if the combination of Cetuximab, Pemetrexed and radiation has better results than what we ordinarily expect with radiation and chemotherapy. We will also find out if the side effects are worse than those we usually see. In addition, we will test both blood and tumor tissue and determine what effects Cetuximab has on these specimens. Finally, we will look for markers, or cancer identifiers, in your tumor cells and blood that may help to predict what the best treatment is for head and neck cancer patients in the future. 