I think he's doing things with you because he is confused. This is a bad time for him too, while ironically, he has the ability to make things better.
Continue how you are doing. I think you would be in your rights to ask him to help around the house more and with the kids, but that's your call.
You sound like you are working a lot of things out for yourself and he's noticing. He may just be waiting to see if the changes are real and permanent vs. just trying to get him to stay then you revert back to your "old ways".
