I feel better when my boyfriend doesn't do things for our newborn. Not because I don't want him to help or don't want him to have time with our daughter but because we both have our own ways of doing things and sometimes his ways get on my nerves lol I was the same way with our first daughter and still am. There's certain routines that I'm used to and that she's used to so its easier if I just do them so most of the time it's me being 100% caregiver and it started because like you're going through, at first with our first he never really did anything for her so I was upset all the time and just made routines and got used to the way I did them like bath time and changing diapers an eating. Now though, things are different. It's hard to care for a newborn and at the same time take care of our toddler so he's taken over a lot of the things for our oldest while I handle the newborn and then when she's sleeping I'm back to caring for the oldest.
If its something that's super bugging you then talk to him. Just ask him if he's scared and tell him you believe he'll be fine and he just has to trust himself. Most dads, especially first timers, don't get the hang of the dad thing until a little bit later. Next time someone needs to run for a missing ingredient for dinner or some other small errand just go and leave him with her to see what he does. If he puts up a fuss while you're leaving tell him it'll only be one stop and it'll be quick so he should be fine. Give him time to warm up to it all. =] good luck!
I think hes scared but wont admit it
That is unacceptable!
Its his baby too! Have you asked him why?