With regards to the night feeds, I can sympathise.
I started off, all good intentions, with my DH, saying 'you have to go to work, I don't, I'm at home, so after 11pm, I'll get up.'
Cue DH never getting up at night from the moment we brought DD home
Worked great, till I went back to work and DD was still waking for night feeds.
By that time, she was in her own room, because both she and DH slept better (and she woke less!) that way, but that, of course, meant me getting out of bed, schleping across the corridor and sitting in her room to feed her.
At almost a year, I'm still doing it and there are times when I'm so tired I want to scream. To make matters worse, I now get from DH 'why are you never awake after 10pm? We never get any time alone!'
However, when I ask if he can do some of the night stuff, his argument is 'Oh, but I have to drive to work and you don't...'
Not at bloody weekends you don't!
We've agreed that over Christmas, when neither of us is working, we'll split 50-50 and I'm expecting him to be a wreck by the 27th.
We'll see.
OP, YANBU. Things need to change. One weekend night, every week, at least.