@marialavender YOU ARE NOT ALONE. I hated newborn life too. I barely have any memories of it (and mostly all bad) because of the sleep deprivation and the crying. Some babies are just tougher than others and you're in the hardest of it all.
Honestly, can you get any help? Outsource any functions (cooking/ cleaning) etc? Can any neighbour or family come help a bit? When your husband works, what is the plan for the night duties? Yes, it's tough, but he has to do his part too. For us when my husband worked he'd do the 12/1am feed, then I'd do the 2/3/4am one and then he'd do the 6 or 7am one so that I could sleep in a bit more. Yes, he's working but you are also working (by caring for the baby) so both of you need to do some parts of the night shift, not just you.
Sleep wise, would co-sleeping help? I remember having the same thoughts as you did too which prevented me from sleeping. Honestly, co-sleeping saved me coz we could attend to the baby anytime and not have to get up much.
It's survival mode now, minute by minute and hour by hour. Don't worry about stimulating her! She will be entertained by whatever you're doing. You can just tell her what you're doing, doesn't need to be intellectual stuff.
Sometimes when I didn't kno what to do when he kept crying I just brought him outside. Somehow seeing new things/ fresh air helps. Or maybe it helps me. Haha either way it was important. Or water play?
I know this 7 week stage is horrendous and they can't do much so you feel like you're just caring for a crying sack of rice but it does get easier, I promise. And like what everyone else says, the baby phase is the WORST. I'm not a baby person. I have a toddler who meltsdown and cries but it's still better and easier than a baby.
All the hugs and solidarity. You are not, not ever alone nor are you a bad mother. You're an amazing one who is in the thick of the worst season ever.