I don’t practice in NJ. I am a family law attorney with many years experience. Your chance of having the agreement you signed before the Beis Din hearing nullified are slim to none. The cost of mounting such a campaign after the order to move out and pay pre-divorce support would take more assets than you probably have. You cannot encumber the marital home or use joint funds to proceed.
Having followed your posts for a while, it appears that you are in denial. Your marriage is over. Get a divorce, issue a get and move on with your life. To keep a woman who doesn’t want you trapped is ridiculous.