Are warrants for unpaid nuisance citations in NJ automatically recalled after the citation+late fee is paid?

I forgot to pay a nuisance citation in Avalon, NJ; A couple months later, I received a notice that a warrant was issued for my arrest and that I have to turn myself into a police station. I immediately called the number on the ticket and paid the fee and late charge. Do I still need to address the warrant or will it automatically be recalled? How can I make sure this isn't on my record? I went on a long out-of-state business trip right after I received the citation and it just completely slipped my mind when I got back. I don't want this $50 ticket to turn into jail-time because of my forgetfulness! For additional background, I'm a 25 y/o female living in NYC. I've only been ticketed 2 other times: once for speeding in California 9 years ago (as a minor) and another for drinking a cider at a picnic in NY 3 years ago.