First, why'd you shake her hand? Shaking hands is for people that you don't want to touch but have to to seem friendly.
Always hug girls. Unless it's a professional setting or it's a girl you don't want to touch, always go in for the hug. Girls like hugs, and if you act like it's casual then it's no big deal.
Second, why didn't you go in for the kiss? You're on a date, so that clearly means that she is (or at one point was) interested in you. It also means that you are interested in her. So why not go for the kiss? Were you afraid of being rejected?