I don't think you should get too excited. This is the third (?) time he's wanting to come back. As everyone says, he has to work on himself, and until he has done that, and also realized the utter damage he has caused you and your girls, there will never be a clean comeback. Calm down and step outside the loop he's thrown you in (ha!), and as you say, keep doing your own thing. Imagine that he didn't send the email, and go from there.
Me:57 H:52 M:28 Got another lawyer last year and filed. D35,S/D twins28,D22 EA4/04 End? Who knows? "Life is like a mirror. Smile at it and it smiles back at you." — Peace Pilgrim