RATIONALE: Drugs used in chemotherapy, such as docetaxel, cisplatin, fluorouracil, and carboplatin, work in different ways to stop the growth of tumor cells, either by killing the cells or by stopping them from dividing. Radiation therapy uses high-energy x-rays to kill tumor cells. Lapatinib may stop the growth of tumor cells by blocking some of the enzymes needed for cell growth. Giving combination chemotherapy together with radiation therapy, with or without lapatinib, before surgery may make the tumor smaller and reduce the amount of normal tissue that needs to be removed or eliminate the need for surgery.