Sophie, The behavior your h exhibited yesterday is very typical of someone in crisis. Once the dirty deed (divorce) in your lap, they can be as pleasant as can be. However, once you begin to stand up for your rights and what is necessary to ensure that you and your family are taken care of, I can assure you, Mr. Nice just may very well go back to being Mr. Ugly. Right now, he thinks everything is going his way, but we know that the situation will change once the lawyers are in the middle of the mix.
Sophie, sit still, wait patiently and things will be revealed to you. Do not for one minute think that he's dropped to proceedings, for he hasn't. He's trying to appease his guilt for doing what he's done. The next thing you know, he'll say that "he wants to be friends".
Hang in there.
Sit quietly, the answers will reveal themselves when you least expect them to. The past is gone, the present is a gift and you need to focus on today, allow the future to reveal itself when it is ready.