ARM II: Patients receive erlotinib hydrochloride as in Arm I. Patients also receive paclitaxel intravenously (IV) over 1-3 hours and carboplatin IV over 15-30 minutes on day 1. Treatment repeats every 21 days for up to 6 courses in the absence of disease progression or unacceptable toxicity. After completion of 6 courses of treatment, patients may continue to receive erlotinib hydrochloride alone as above.