Does my daughters father have an obligation to continue paying cs until she's 23 & also help pay her college tuition?

By the nature of your question, I gather your ex does not want to continue payment of support for your daughter longer than he has a legal obligation to do so.Therefore, the next and most important question is what does your settlement agreement say about the payment of child support, health insurance coverage and college / graduate school costs? Most agreements in NJ say that the parties will share the costs of agreement college costs for their child, with the child obligated to apply for loans. grants and scholarships to assist in the payment. Most agreements in NJ also say that to determine the allocation of payment of those costs, the parties shall exchange pertinent financial information as to their income and asset structure so that a proper ratio can be determined ( who pays what percentage of the costs). Most agreements in NJ also say that when the child starts college, the parties shall determine if the noncustodial parent should continue payment of direct child support or whether same should be modified or eliminated.... based on whether the child lives at home while attending college or lives at school and the parties are sharing those costs. What most agreements in NJ do not address is whether parents have an obligation to assist in the payment of their child’s graduate school costs - and under the body of case law applicable, most judges will not impose an obligation on parents for the payment of same unless the parent seeking contribution can prove that the graduate school program was anticipated by the parties and that their financial setting ( and their respective educational backgrounds) permit them to contribute to same in addition to their contributions for college costs. So, at the end of the day, start off looking at your agreement and then if there is nothing in it about graduate school / health care / child support - try to sit down with him and see if you and he can work out a compromise that both of you can live with.