Summary Judgment is appropriate when there are no factual disputes and the law permits a single result. IN a divorce, that is rarely, if ever, the case. IN fact, the only real issue would the issue of divorce itself, which is the one thing that is usually the simplest part of any divorce proceeding. But when it comes to support, custody, and equitable distribution, there is far too, much discretion that goes into the final outcome that it is impossible to have summary judgment. If you have a written agreement that the other party is now seeking to change, there is no issue of summary judgment because the judge is not required to adopt the agreement. In most cases they will, but they do so in the exercise for their discretion.
There really is no summary judgment in divorce cases. If the facts are undisputable and they try to contest them unsuccessfully, then you might be awarded counsel fees after trial. Generally, marital separation agreements are incorporated into the final divorce, but it still is at the discretion of the Court.