It sounds like he is very conflicted and his resolve is starting to erode. I would just keep doing what you're doing as it seems you are DB'ing well and its having some impact.
I would try to separate your finances so you have more visibility. Set up separate and shared bank accounts and have him deposit into the shared account a regular amount on a given schedule to cover what he has agreed to cover. With everything else going on, you don't need this murky financial situation. I think you should take over paying the bills that directly impact you with H providing whatever funding he agreed to.
You will find the visibility and control reassuring.
Accuray
Married 18, Together 20, Now Divorced M: 48, W: 50, D: 18, S: 16, D: 12 Bomb Dropped (EA, D): 7/13/11 Start Reconcile: 8/15/11 Bomb Dropped (EA, D): 5/1/2014 (Divorced) In a New Relationship: 3/2015