Florence,
Welcome to the board as an official member. You will get a lot of support here.
I think the bottom line, is that you need to decide whether you want this husband AS HE IS, right now. Cuz that's how he is right now, ya know?
You do not have to decide big things at this moment. Just try and function as best you can, maybe have kind of a "don't deal" truce or something and just keep peace in the home?
He may be going through the motions so he can "show" you that he's trying.
He may be doing the bare minimum and failing so he can "prove" to himself that he just can't do it, or that he's just no good. I believe that my xah would rather wallow in self-pity than get up and DO WHAT THEY TOLD HIM he needed to do.
Him not getting a sponsor for such a long time is a great example. Just do what they tell you. But that's his job; it's not for you to dictate.
Please try and take care of YOURSELF and your child. Let the chips fall where they may?