The bf and settling at night thing - I've put what we did below - and we stuck with me doing the feeds and wakes when I went back to work.
DH is much more of an night owl than me, so I fed DS1, and then we had some Us time. Then I went to bed, and any wakes before about 12, DH dealt with, as we were fairly sure by that point he wasn't waking for milk having recently stuffed his face! I used to hear quite a lot of these, but got to stay in bed.
After DH came to bed, I did the rest of the night wakes - and he really just didn't hear. When DS2 came along, I shared with DS2, and DH dealt with all DS1 wakes, he had the baby monitor on full in his room, and I often heard DS1 before DH got to him!
I digress. I did the night wakes, and bf. DH then did the mornings - baby came for a feed, and then went with Daddy for nappy, clothes and breakfast, while I dozed again.
Come weekends, I caught up on the sleep - we each got a lie in one morning (tho I get all bank holidays), and I also go for an afternoon nap (still do quite often!), while DH is in sole charge.
It wasn't brilliant, but it worked for us. I also didn't feel both of us being awake in the middle of the night was worth it - I couldn't sleep through the night wakings if they were anything more than a 5 min grumble - so the thought of DH dealing with it while I lay in bed seemed stupid!
Thats turned epic - basically, find a way that works for your family. But yes, DH needs to pull his weight. I follow the "this is whats happening" route most of the times, after a request of a copy of his diary for the holiday weeks required!