First of all, you're not going to be a shitty dad. All these questions you have? Completely understandable. The baby's coming soon and you know what? You'll figure it out. Chase isn't going to resent you or I'll have to threaten to beat her up and I'm thinking she could kill me. You can't control if something goes wrong in delivery, but the odds are totally in your favor - everything that can be done will be done to ensure that Chase and the baby pull through.
And don't stress over dropping the baby! You're going to adapt and you'll be amazed how much you can accomplish when you're half-asleep, holding the baby in one arm and a bottle in the other. Just breathe, Penn. You're going to be a wonderful father. You can do this. I know you can.