State tax filing

Yes.  You will file for New Jersey if you worked in that state.

If You Moved: You will file a tax return as a part-year resident for each state.  It's a good idea to prepare the state you moved "from" prior to the state to which you moved so you can get any applicable credits for taxes paid to the other state (assuming both states have income taxes)

If You Did Not Move to New Jersey : You will file a Non-Resident return for New Jersey and a Resident (or Part/Year Resident) return for the other states.

How do I file if I moved to a different state last year?

https://ttlc.intuit.com/replies/3302342

 

How to file a non-resident state return?

https://ttlc.intuit.com/replies/3302052