R.D.
Wow! First off with him leaving with no advance notice and filing for divorce. I hate to be the first to say it but I would take him in to your physician or pediatrician and have him checked. This man (I'm sure you thought you knew) is certainly acting weird. Speak to your lawyer and get some legal advise, I'm sure and do hope he will lead you in the right direction or have him back in court. As for his access time I would try and deter that until you have some clarification on whats' going on. Obviously he didn't do this when he was at home. I would certainly have some questions and be going out of my mind. If you don't send them when he wants them, he may take you back to court and maybe then something will come about once it is said that this is whats' going on. Why does he want to bath with your 2yr.old boy. Does he play a part in the 1yr olds life as well.
Don't wait a minute longer check things out and report it to the proper authorities if this is how stronly you feel. I wish you well, but much more your 2yr old when this comes back to him in time, when he can explain. Keep up with the questions but not to much or he will tire of it very quickly.
Take care and try and keep yourself focused on yourself and the children. They are now your first priority.