Newborn shoots are the best!
Couple of things I first noticed:
(these numbers aren't in relation to the picture order, just in order of my overall impression when viewing the set as a whole)
1- I love the clarity and focus, good job there
2- the baby looks cold to me.. Even in the dead of summer I always try to keep a space heater on hand for newborn sessions. If they are even a little cold, it really affects their skin. Maybe just warming him up a bit in editing could help this, if you weren't able to use a heater.
3-Cute expression in the last one.. But with these as a set I'm seeing "uncomfortable baby, sad cold baby, and angry baby" LOL... Maybe there are more where he looks more obliging, but if these are the only three we can judge from, I'd say he looks like he did NOT enjoy this session =P Don't worry about taking your time with newborn sessions.. Sometimes you can take an hour just to get the baby comfortable, happy, and ready for pictures...after which you only do one pose and spend another half hour getting him comfortable for the next set up.
3- skin tones here are different in each shot- The first one looks like your best in that regard. The second is cold with a bit of yellow, the last is cold with a lot of magenta.
I hope you don't take any of this in a bad way, I'm just pointing out what I noticed in hopes it might help a little for future shoots.. Excited to see more =)