My bf was like that. I was a second time mom and he was a first time dad as well, and was the same way. And I used to feel just like you, but when she got a lil older he started interacting more. Now she's three and they're inseparable. Give him some time.
Also, quite frankly guys take to long to do things specially at night. I once asked my husband to warm my son up a bottle and it took him 15 minutes. Dear lord! I was already nursing my son and he was almost sleeping lol appreciated he got up but it was the last time I asked hkm.
Hive him time. Some guys are scared of being alone of taking care of the baby alone. Specially if they are younger. Mine held the baby and spent as much time as he could but rarely did the actual care by himself. Specially while my son has him umbilical cord on. It scared my husband.
He just might think he's too delicate to touch. Let it sink in, I know my hubby would be scared to hold her. He would hold her though . Just give it time. I don't think it's weird at all
Hmmm.. thats kinda weird that he doesnt want to spend time with his baby. Maybe things will change when he gets a little bigger. Newborns are kinda boring. Maybe u could make plans to go get ur nails done sometime when he is gonna be home? 'Can u watch the baby while i run to the mall?'