Re: Feeling Discouraged by This Problem
Hi, and congratulations! I agree with PPs. I also think that the non-birthing partner needs to feel confident with a new baby, and often needs some help with that -- I think it's great you are sensitive to this. Can you get the book or video "Happiest baby on the block"? We watched that in the hospital and it did wonders for my dh's confidence -- I think it was partly effective because it showed all these dads trying to take care of a baby, learning some techniques, and having a better time for it. Just the modeling helped! Though the techniques might work, too. Men just don't have a lot of role models. While I was happy to nurse most of the time, sometimes I really just needed a break -- plus it was so good for my mental health to know that someone other than me could take care of the baby if necessary. At almost a year, I'm finally feeling like DH is a confident parent, so it has taken some time -- but each of those early steps was important, I think.
Oh, and I did lots of complimenting, in the line of "oh, he is so happy when you walk him like that" or "look, he recognizes his daddy is the fun one already!" 
It sounds to me like you guys are doing great! I wouldn't worry about foods you are eating unless she seems to be in out-of-the-ordinary pain, and it doesn't sound like that is going on. And "spit up" can be a whole lot of milk -- why do you say it isn't spit up but vomit? These crazy first few weeks go quickly, and it really does get easier. Hang in there.
Kate
Mother to a sweet boy, born at 34 weeks on 2/11/11.
Proud that I grew 26 lbs of baby before solids, and still counting...
We received banked milk in the NICU. Thank you, donors!!!