Your PA LTCF is good until it expires or is revoked. I dont see anything in NC statutes that invalidates the NC CHP on moving out of state.
The issue comes on renewal of both. NC does NOT issue to non-residents, and PA will only issue if you have one from your home state...and NJ doesnt issue.
So you are going to need to get UT or FL.
and with that said your PA or NC...FL or UT...none of those will allow you to carry in NJ.