The goal of this clinical research study is to learn if chemotherapy (cisplatin, docetaxel) is safe to give to patients whose lung cancer will be surgically removed, and to learn if maintenance therapy with the biologic agent erlotinib, given after surgery, is safe. Another goal of this study is to look at changes that occur in epidermal growth factor receptor (EGFR) and how these changes are reflected in different cells in the body. The effect of this treatment on the participant's quality of life and survival, as well as its effect on different cells in the body, will also be studied.