If they are telling you that they have a warrant, it needs to be addressed before you can resolve the ticket. Call the Court and see if you need to post bail to get the warrant resolved, and then get a new Court date. When you call the Court ask if they notified the MVC. If they did, you will need to see if your DL was suspended for failing to show up in Court. If it was, DO NOT DRIVE until you get the DL restored by the MVC, or you could get ticketed for being on the Revoked/Suspended list. Good luck.
This answer is provided solely for informational purposes, for you to use as a starting point when speaking directly with a lawyer. While I do practice law in NJ, this response does not constitute legal advice; does not create an attorney-client relationship; and, is not intended as an attorney advertisement. I urge you to immediately contact an experienced criminal defense lawyer of your choice, who is admitted to practice law in NJ before you make any decisions about this case.