Put everything you can forgo on hold. You are in survival mode right now. Strip everything to the basics and do only what is truly needed. Anything that gets in the way of that and is not necessary, get rid of it. You say your daughter watches too much TV for now. That is okay. It is what you need to do now to get through the day. Cross that out of your worry list.
Can you do trades with another mother for your 2.5 year old? I found, for me, watching two kids (my kid plus his friend) was easier in some ways because they have a playmate. Also, it will mean you will get a break from your DD when she is at her friend,s home, you know what I mean? If you have a mom friend that you feel comfortable with to do babysitting exchange, that may help. Just putting it out there as an idea.
How is your home? I ask this because when I am mentally maxed, a messy cluttered home gets to me and further adds to the chaos in my mind. Makes me more anxious, more exhausted, more depressed. So, when it becomes difficult to control my mind, I start by trying to control my surroundings. This comes in the form of just getting rid of crap. Having my home near empty means less messy, less disorder, less stuff for kids to throw around and less stuff for me to trip over and worry about cleaning up. So I chuck everything out. Again, I am just putting this out there just in case you have the energy to do this or your DH to do this and. if you thought this would be helpful in your situation. We are all so different.
Drop all your standards... let go of any sense of performance anxiety you may have. You may not be the best version of yourself right now but you sure are doing the best you can under your current situation. You need to give yourself a chance to recover.
I am just throwing all this stuff out there hoping you will find something helpful in it.
Here is wishing you sleep soon!