The court cannot force parents to support normal healthy college age adults. That includes tuition. However, parents (or anyone) can enter into a binding agreement (contract) to pay for college expenses. This contract generally must be in writing, and ideally should be secured by some kind of asset.
No you cannot collect your half of their social security, but you may be eligible for derivative benefits after divorce, in marriages of over ten years in length.
Thomas Kendall is a partner in the law firm Kendall & Gkikas, LLP, Since 1994 have successfully fought for joint share parenting plans for fit parents. During and after the divorce process, Kendall and Gkikas, LLP has the in-depth knowledge it takes to help you make these positive adjustments to satisfy the court and for you to remain a major part of your children's life.