Sounds like you initially called the wrong PSE&G line, the group that does new service for new developments.

PSE&G is useless but I set up everything for my JC apartment entirely online, registered an account and input address, etc. I didn't have to jump through any of the hoops you're describing. Never spoke to anyone on the phone. There was also a large unpaid balance from the previous resident but I did not pay that because it's not my problem. But I couldn't set up service under my name until I had actually moved in. The first bill under my name was for an accurate amount. Give it another try.