Confusing isn't it.

I'm somewhat confused about this. I've read about the reciprocal tax law but assume this applies at the State level. I live in NJ, my employer is based in NJ, however I work in PA (satellite office). I pay Fed and NJ state taxes but my local taxes are withheld in PA as well as a nominal UC (0.1% unemployment compensation tax? For the jurisdiction). When I file my NJ taxes do I claim a credit for the local taxes with held in PA as well as the UC. So confusing. And then do I have to submit a tax form for my locale?

Thanks in advance.

Redundant posting; already answered.