First, congrats on your baby! Things will never be quite the same as before, but you will heal. If you're nursing then your body is producing virtually NO estrogen. This means very little natural lubrication. As "the girlfriend's guide" says, inebriate and lubricate. Seriously... get yourself a good bottle of lube and don't be shy about it - it's not that you're not "into" it, it's that your body is not in a physiologic state where it can produce what you need for sex to be comfortable. (a little alcohol in the system never hurts to get things going either). Very honestly, we DTD a few times, but it wasn't *fun* after either birth until around 9 months postpartum. The crazy thing was that my first birth was a scheduled c-section and I never even went into labor, so no damage down there, but it still did NOT feel good simply b/c of the breastfeeding.
You're at the point postpartum now where you can also start doing some core rehab. I like the Tupler book Lose your Mummy Tummy. It has many good exercise for correcting abdominal diastasis (splitting of your abdominal muscles - we all get it) and has some good tips about doing kegels (the trick is to keep every other muscle in your body relaxed -- best to start laying on your back with knees bent). This will also help your healing.
Best of luck adjusting to your new body - it will never be the same, but it is not any better or worse than before - just different. Be gentle and give yourself lots of time. In the mean time, work on finding some other ways to be intimate with your husband until sex sounds more appealing.