Ph I/II Nab-Paclitaxel & Carboplatin w/Concurrent Radiation Therapy for Unresectable Stg III NSCLC

RATIONALE: Drugs used in chemotherapy, such as 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. Nab-paclitaxel (paclitaxel albumin-stabilized nanoparticle formulation) may make tumor cells more sensitive to radiation therapy. Giving nab-paclitaxel together with radiation therapy and carboplatin may kill more tumor cells. PURPOSE: This phase I/II trial is studying the side effects and best dose of giving nab-paclitaxel together with carboplatin and radiation therapy and to see how well it works in treating patients with stage III non-small-cell lung cancer that cannot be removed by surgery.