If you did not live in the rental home, then you do not qualify to deduct the property taxes on your New Jersey return. The New Jersey Property tax Deduction can only be claimed for homes that were your personal residence during the year. If you were renting out a section of a home that you also occupied, then you could deduct the property taxes.
Please view the New jersey link below for more information.
https://www.state.nj.us/treasury/taxation/proptaxdeduc_credit.shtml