Yeah...I think you guys need to have a nice relaxing time out, without the furbutt! While out, you need to refrain from talking about her, and make sure that your boyfriend is able to relax and just enjoy himself

It will probably reduce his stress.
If it's any help, there was a while that my husband and I were fighting all the time - we barely saw each other, but when we did see each other we couldn't agree on anything. We had a vacation planned, and afterwords we were getting along better than ever. We just needed some time together as a couple to sorta "rekindle" ourselves...
He might not feel like it's his job to feed/water your baby, cause she's "yours"...that's the crap my hubby pulls on me...He loves our boys more than almost anything, but he doesn't take responsibility for them - ever. It's honestly just something I'm going to have to live with, but it isn't that big of a deal, because I LOVE taking care of my boys, and they're never without food for more than 2 or 3 hours, so they're not in danger, you know?
If it really comes down to it, are you prepared to choose between your pet and your boyfriend? I hate to even think it, but is the possibility of that in this situation? I think over time your little one might grow on your boyfriend. Did he agree with your decision to get her, or did you have her when you guys started dating?
Either way, I wish you the best of luck, and I hope you guys get everything figured out!