Combination Chemotherapy and Radiation Therapy in Treating Patients With Locally Advanced Head and Neck Cancer

Inclusion Criteria: * Histologically confirmed squamous cell carcinoma of the head and neck * Stage IVA or IVB disease * Stage III disease allowed provided patient may benefit from organ preservation or patient refused surgery * Measurable or evaluable disease * ECOG performance status 0-2 * Absolute neutrophil count ≥ 1,500/mm\^3 * Platelet count ≥ 100,000/mm\^3 * Creatinine ≤ 1.5 mg/dL OR glomerular filtration rate ≥ 60 mL/min * Bilirubin normal * Alkaline phosphatase (AP) and AST or ALT must be within the following ranges: * AP normal AND AST or ALT ≤ 5 times upper limit of normal (ULN) * AP ≤ 2.5 times ULN AND AST or ALT ≤ 1.5 times ULN * AP ≤ 5 times ULN AND AST or ALT normal Exclusion Criteria: * Salivary gland, sinus, or nasopharyngeal primary disease * Evidence of distant metastatic disease * Pregnant or nursing * Positive pregnancy test (Fertile patients must use effective contraception during study treatment and for 3 months after completion of study treatment) * Other malignancy within the past 5 years except for adequately treated basal cell or squamous cell skin cancer, in situ cervical cancer, or other malignancy in which stage and nature of disease is such that it is unlikely to affect survival for the next 3 years * Peripheral neuropathy ≥ grade 2 * Hearing loss ≥ grade 2 * Severe hypersensitivity reaction to docetaxel or other drugs formulated with polysorbate 80 and/or cisplatin or other platinum analogs * Poor nutritional status, in the op…