This phase I trial studies the safety and the ability to expand laboratory-treated T cells when given together with cyclophosphamide or denileukin diftitox in treating patients with human epidermal growth factor receptor (HER)-2/neu overexpressing metastatic breast cancer, ovarian cancer, or non-small cell lung cancer previously treated with HER-2/neu vaccine. Laboratory-expanded T cells may help the immune system in different ways and stop tumor cells from growing. Drugs used in chemotherapy, such as cyclophosphamide, work in different ways to stop the growth of tumor cells, either by killing the cells or by stopping them from dividing. Biological therapy, such as denileukin diftitox, may stimulate the immune system in different ways and stop tumor cells from growing. Giving laboratory-treated T cells together with cyclophosphamide or denileukin diftitox may allow the immune system to kill more tumor cells