I think when you've been that sleep deprived for so long you fail to appreciate what a massive problem it is. This is what you need to tackle first, in my opinion, and forget the rest for now. I'd be surprised if you be able to sustain any tidy routine - even 5 minute ones - when you are that tired. And I'd expect the first time things started to unravel again, it would make you feel even worse: you posted on MN, got tips, tried to apply them, things unravelled again -- depression deepens along with bigger sense of failure.
Tackle the sleep first: start a thread collecting links and support to deal exclusively with the sleep.
OP I have a pre-schooler with behaviour issues and a 2.5mo on medication for reflux, and I am getting MORE sleep than you!! In fact, I'm getting a LOT more sleep than you. Seriously. I am totally amazed you are managing as much as you are. Well done for that. Give yourself a break.
If you are going to do one - ONE - other thing in addition to concertedly addressing sleep, I suggest getting outside. Just a walk around the block or playing with a ball in the park - and ONLY when you can manage it. Daylight will help with your mood. But scheduled groups ...? That will be hard to be on time regularly and it will make you feel like you failed if you miss one or drop them, as I think you might when you're that tired.
Big tidy-up plans, organised groups, meal targets - that's all for when you've cracked the sleep and have your sanity back.
Start that sleep help thread and let us know where it is.
x