Forgive the extra questions because we don't have access to your return in this public forum. If you worked for two separate employers, (one in California and the other in New Jersey), you should only be paying tax to New Jersey for the company in which you worked at while living in New Jersey. That W2 will have "NJ" marked in Box 15, and there should be a state code as well (the state's tax account number). If you didn't work in New Jersey for your other job, there would be no reason for that job to report any income to New Jersey, and if you file a part-year New Jersey return, there would be no need to include this income for your New Jersey return. Is this your situation?
Having said this, the New Jersey return does have "foibles" to it, so if you have additional information that I'm not answering, please feel free to provide additional detail.
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