I. Determine the rates of apoptosis, autophagy, and proliferation with AZD6244 alone, and in combination with temsirolimus by immunohistochemistry in tumor and surrogate skin tissue biopsies. (exploratory) II. Assess the activation status of protein kinase B (Akt), 5E-BP1, eukaryotic translation initiation factor 4 gamma, 1 (eIF-4G), and ribosomal protein S6 kinase (S6K) in tumor biopsy samples and surrogate skin tissue biopsy samples.(exploratory) III. Assess inhibition of activated mitogen-activated protein kinase 1/2 (ERK1/2) in stimulated peripheral blood mononuclear cells. (exploratory) IV. Assess response by Choi criteria. V. Compare the response rate and 4-month progression-free survival (PFS) rate in patients treated with these regimens.