Just wanted to say I have a similar situation; partner works long hours, I also had forceps and episiotomy delivery which resulted in me having very bad injuries, I was unable to lift or walk well for around 11 weeks. My son is nearly 7 months.
My partner typically leaves the house at 7am and isn't home till 8pm. Sometimes this is later and he works weekends.
But, when he is home, he does have the baby for me when he can. I'm breastfeeding so it's really difficult for him to 100% look after baby alone, but on Saturday for example, I woke and fed baby and then my OH took him downstairs for a few hours while I slept in.
You partner really needs to be doing so.etching similar to this too. There is absolutely no reason at all why he cannot look after his own baby when he wakes in the morning and feed him (if you're bottle feeding) so you get a rest.
Personally, if I were bottle feeding, I'd have left baby with dad for a good few hours to let it sink in that it definitely isn't a "holiday"! Cheeky little f**ker!
Let his mother know that she's raised a sexist waste of space father and see what she can do to change him, and if all else fails, let him know that you'll get at least 2 days a week off from baby care when he's a single parent.
Good luck. It isn't easy, but it would be easier for you without him. You don't want to be raising your baby and your man child xx