Once the patient gets to clinic, he/she will be given a dose of docetaxel and then a dose of carboplatin. Each of these medications will be given into the vein after an IV is placed or into the central line. The patient will then take the last dose of dexamethasone before going to bed that night. The patient will receive chemotherapy treatment once every 21 days as long as the patient's blood counts and laboratory tests have returned to an acceptable level. The patient will have a re-evaluation of his/her disease with imaging scans and laboratory tests after the second round of chemotherapy. If the patient's tumor has not gotten worse and/or has not had severe side effects from the chemotherapy, the patient will be treated with 2 to 4 additional rounds of chemotherapy while we are waiting for the EBV-CTLs to be finished.