Haven't read the whole thread, but have read your posts, OP, and I'm struck by how much is about organisation issues - does your partner have ADHD?
I wondered that too.
It's an awfully situation to be in OP and I really feel for you. To give an alternative point of view...
I have definitely called my partner at work before saying I'm not coping and crying and shouting down the phone. Sure I slammed a door at some point too.
Not proud of it but my MH was poor, my baby screamed for hours and hours on end, didn't sleep night or day, and I often couldn't leave the house because of it. I couldn't get anyone to help me improve the situation, I couldn't get adequate MH support, I had no family support, and DH worked out of the house 12 hours a day.
I never harmed my baby (well maybe psychologically I did, who knows), but it seems that many of you would call me a useless, lazy, shit mum who should not be looking after my own child.
Maybe he is useless lazy and unfit, but maybe a little compassion wouldn't go amiss either.