Summary: This phase II trial studies nivolumab and ipilimumab in treating patients with rare tumors. Immunotherapy with monoclonal antibodies, such as nivolumab and ipilimumab, may help the body's immune system attack the cancer, and may interfere with the ability of tumor cells to grow and spread.~This trial enrolls participants for the following cohorts based on condition:~Epithelial tumors of nasal cavi...