 Monoclonal antibodies, such as cetuximab, can block tumor growth in different ways. Some block the ability of tumor cells to grow and spread. Others find tumor cells and help kill them or carry tumor-killing substances to them. Sorafenib tosylate may stop the growth of tumor cells by blocking some of the enzymes needed for cell growth and by blocking blood flow to the tumor. It is not yet known whether cetuximab is more effective when given alone or together with sorafenib tosylate in treating patients with head and neck cancer. This randomized phase II trial is studying cetuximab to see how well it works when given together with or without sorafenib tosylate in treating patients with refractory, recurrent, andor metastatic head and neck cancer. 