OK, you can laugh at me when it is my turn to go through this and you remind me that it is no big deal! My friends who have kids going through this now (IRL) tell me I will change my tune when it is MY baby girl.... but don't you remember how much fun this was? When that big smile on her face was the big smile on YOUR face? When just hearing the phone ring could make your heart jump? What she is going through now is such a fun, wonderful time - don't mar it with stress or worry.
And since you really can't do anything about him walking her to classes, carrying her books, walking her to the bus, why try? I kind of believe in the trust 'em (your child - you don't need to trust anyone else's if you trust yours) until they give you a reason not to. In my experience, the kids who were expected to make smart choices and given the freedom to do so, actually did! The kids whose parents expected the worst, accused of the worst before it ever happened, kept an overly tight control on where they could go when and with whom, etc. ended up with kids who went ahead and did those things since they were practically getting in trouble for it beforehand.
When I was 13, I was in 8th grade and school dances were at night. There were chaperones and it was all mild but we did slow dance. I don't want to scare you with what was done by some kids that age (and this is 20 years ago...) but everything you describe (even wanting to go to the movies or somewhere on a "date") seems pretty mild to me. But you have to do what is comfortable for you. Do you and dd have a good communication about sex? Does she know what it means (physically and emotionally) to make those decisions (not just the big decision but all the little ones that come before it)? Could she get birth control (not trying to freak you out but just looking down the road - WAY down the road) without you if she needed it? I can appreciate how hard it gets but hormones rage in teenagers whether the parents are ready or not (how can you ever really be ready??) and anyone who thinks they can fight "love" doesn't remember being a teenager IMO...
And my dh will be in crisis mode too - I am sure. Ours are only 6 and 2 and already he talks about cleaning his guns in the living room when the boys come to pick up our daughters for dates.... I claim I will be cool as a cucumber about our girls dating but I'm sure I'll freak when the time comes. I just talk big!