So I've been seeing this girl for a little more than a week now and we've been pretty intimate. She's slept over a few times, talk on the phone and skype frequently, etc. It's very obvious we both want to say the love word, but not really comfortable with saying it yet (instead we both say "I really really like you"). We're both sexually compatible (though she wants me to be more aggressive, which I still have limits from my last relationship I never got to do), we can talk for hours about inane stuff, our interests aren't 1:1, but they overlap a bit and I'm okay with that, because I can learn from her and know enough to hold a conversation about say like politics (she's an international affairs and econ student) or whatever. I haven't met her friends but she says her friends like me.
The problem I'm having (even though she is otherwise 95% what I want from in a girl/relationship. She says I'm not perfect as well but is very close to what she wants) is that she used to do drugs (but hasn't since she saw me except some anxiety pills she had left over she needs but has no prescription for when we had a disagreement) and has huge social anxiety. She doesn't like PDA like kissing or holding hands either, at least in public. I am okay with being "laid back" but she doesn't even like eating in front of other people. She tends to like more...demure? things? Which I don't mind and in fact enjoy, but I would like to do things like bowling or going out and having dinner or whatever once in a while.
Another thing that bothers me is she doesn't really want to add me to her fb saying "you can contact me on skype or my phone" and "You'd be able to see how dumb I was a year ago" (which is around when she made her fb) and later "My mom's on my fb, and she'd creep and be like WHO IS THIS BOY" (unrelated but kind of but her parents are Ukrainian and she goes on about how they're protective or something).
On one hand, it's been a week and I understand where she's coming from, on the other hand I feel like she's afraid to let me into her life thinking I'll emotionally hurt her or something. It kind of frustrates/offends me because I feel like she doesn't really trust me even though I honest to god have no ill intent, with anyone. She said she had a shitty ex which she hasn't really said much of why he was shitty or what he did, but I feel like it's affecting our current situation, or at least my perspective of it?
Another thing that worries me is how she used to hang out with this other guy who hooked her up with her drugs back in nyc, and every time they got high they'd have sex. She said that she told him no more casual sex because she wants to stop feeling like she's easy and she wants to just have sex with me. I trust she wasn't lying (because she posted snippets of the chatlog) but I don't really feel I can trust her to not go get high and end up having sex when she's in that state (because I've seen her high on skype/phone and she's generally pretty impressionable). She's going back to see family/friends during spring break in a few days for a week, but I feel like he's included in that and it makes me nervous. We're not officially dating, but we are agreed that we're exclusive. I suppose all in all, she already trusts me a lot and frequently says how shes more comfortable with me than almost everyone else and all that, but it's not quite as trusting as me which bugs me.
TL;DR: I am dating but not really dating a slow to trust, socially awkward girl and I am generally neither of those things. I know and wont bother trying to fix and change her but I don't know if these things I should suck it up and overlook or if I should bring it up to her even though I'm afraid she'll push back if I try to push her to be just a little less anti-social.