SC, You have had several email commuications w/your h about a lot of things, now you need to step back, back off and do what you need to do to move forward. Your h is getting very annoyed and angry w/the situation. He's frustrated that you aren't getting the picture, it's the picture that only he sees.
SC, please, please stop trying to rationalize w/him. The more you communicate w/him about what he's promised to do at your house, the bills, the accounts, etc., the more frustrated and angry he will become.
As for the children, they need to work out their issues w/their father...you cannot be the umpire in this one.
Protect yourself, do what you need to do to get his name off of things and your name put on the utilities, etc. Your h sounds so much like my xh and believe me when I say this, he's only going to wait so long and then things will be cut off, i.e., just like that account. Their patience span is very, very short.
Do not contact him again...let him come to you.
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.