With regard to the PA local taxes, you may claim a credit on your NJ tax return for any local taxes you pay to municipalities in Pennsylvania. See this:
https://www.nj.gov/treasury/taxation/njit14.shtml#:~:text=The%20New%20Jersey%2FPennsylvania%20Recipr....
**Answers are correct to the best of my ability but do not constitute tax or legal advice.
