Assessment of safety including blood tests, clinic visits and exams will occur weekly at the start of therapy, then will transition to every 3-week clinic visits and exams at the beginning of cycle 4. For the Phase Ib portion, patients will undergo weekly lab work and clinic visits for cycle 1 only. The researchers hypothesize that in this HR deficient patient population, the addition of niraparib to carboplatin will lead to significant anti-tumor responses with acceptable toxicities.