YES, YES, YES. Very normal. If you said the baby was 10 MONTHS old, I'd say maybe you had a bit of cause for concern (although I know lots of women who'd still say so after that many months). But your child is only a couple of months old. You're still healing physically and emotionally, and I'm guessing you're not sleeping as much as you once did. That is exhausting for anyone. It takes time and patience. I am hoping your comment about your partner feeling "neglected" is your words and not his. In my opinion, 10 weeks post-baby is a little early for complaints about feeling neglected. Did he WITNESS what you went through during pregnancy, labor, and delivery to bring his son into the world?! I think you should tell him to suck it up and get over himself.
That being said, I know the feeling is not pleasant. You now have 2 men in your life and you are constantly trying to keep them both happy. It's not easy. It takes time and effort, but you really do have to be patient, find the time for romance/sex when it's POSSIBLE not necessarily when it's IDEAL. Babies do change everything.
I wish you luck in trying to rekindle yourself as a woman and balance that with life as a mommy. You will find you will always have to work harder to do that now. But it can be done. Be patient, be spontaneous, and give yourself a break. You just went through the toughest physical experience any human can have and are now the most important person in a child's life.