You will need to file a part-year NJ tax return for the time you lived/worked in NJ. WA has no state income tax so there will not be a WA return.
MOVED OR NEED TO FILE PART-YEAR STATE
https://ttlc.intuit.com/questions/1901560-how-do-i-file-if-i-moved-to-a-different-state-last-year
ALLOCATE PART YEAR
Thank you for the quick turn-around. The fist link is not working. Could you share the link again? Thanks!!