Oh my goodness! Bless your heart. I am so so sorry. My heart goes out to you. I hate losing a baby. I know your pets can be just like children. Although I have my neices and nephews to take care of, I am unable to have my own children and my pets are just like my babies. I know how heartbreaking even devastating it can be to lose one and I wish we never had to go through that kind of pain. I realize this post is a bit old, but I'm sure your heart is still hurting for your baby. It makes me so sad to hear that. I really hope you're able to find your way through this hard time. I lost a baby (kitty) exactly one year ago today and it is absolutely heart breaking. I however just got a new pet a couple weeks ago from my sister needing a hamster sitter and now he's won my heart so that does help when the times are difficult and memories hurt. It can take time before you're able to really give your love and let yourself get attatched again, but if you choose to it can be a healing experience. I wish you the absolute best with this and do know that one day I'm very sure you'll be re-united with your precious bunny.
I'm so sorry and I hope your heart heals quickly. Also, I have found that burying myself in things like hobbies such as sewing, making things for others, or even spending some time helping other animals like joining a free organization or even donate. It can help, but some feel that it helps them to just cut out extra activity and mourn right away. Me, I have to bury myself in my work and designs for a while and then mourn. I guess I try to shove it away, but we know that doesn't work for long.
Once again, my deepest condolences & I hope you get a new baby to offer your love to. I know he'll never, ever replace your other, but it feels good to still continue giving what you have to offer and judging by your words, you have a lot of love to offer to a needy pet.