Lots of text sorry guys.

Background story:
Hey all. So I have known this girl for about 6 weeks now. When we met we hit it off really really well. I started light kino then and she responded well to it. We go to the same school. However our schedules make it really hard to meet up. We go out for dinner with a bunch of people from school and she delivers more IOI's and I really push my cocky funny attitude to the extreme and she loves it.. laughing tons etc.. holding eye contact when we arent speaking. I ask her out on a lunch date and she has to cancel(legit reasons). No problem. She started being really nervous around me. She was looking down alot and smiling when we talked. She would laugh really loud at stuff I said that I dont think was that funny to be honest. We hang out a few weeks later and I tell her Im doing whatever that night and she should come. This is the first time I had asked her in person. She got flustered and couldnt give me a straight answer. We ended up hanging out anyway due to both our groups of friends getting together... we had a blast together again. I call her up the next day and set up a lunch date. She cancels at the last second with some bs excuse so I send "Whatever." She thinks im mad at her but I wasnt and I showed like it didnt bother me at all the next day. After that I started to show her friends way more attention and I froze her out for the rest of the week. That friday night I see if she wants to hang out on saturday... she says she cant do it at the time I suggested but.. maybe we can get everyone and do it later tonight. She ends up not making it cause of school work. No problem. We live close by. So I text her and we hang out the next night. We are sitting outside and we talk for two hours. Things were great. We were sitting really close to each other. And our shoulders and arms were touching each others the entire time. I noticed that when she would hold eye contact with me should would glance down to my lips. I would do the same. She teases me a lot when we are together now. Which is great because I always have a great thing to respond with so its a lot of fun. She constantly talks herself down. I just ignore it. She said cant have a bf right now cause of school. Which I ignored as well. Then she shows me all these IOI's. I feel like if I just went for it she wouldnt reject me. When we were getting up to leave I put my arm around her and walked her to her place and she laughing like crazy. I gave her a hug for the first time and she got really playful with the idea. She dropped her head and was really endearing. Anyway I cracked a few more jokes and rolled out. I would have kissed her had she not said the thing about having a bf which was brought up because she was talking about someone else in the class. I really get the feeling that she admires me. She said her parents were coming in town and I made her laugh a lot by saying how I cant wait to meet them/do you think they will like me and laughing... credit to gambler for that one lol...
We will probably be hanging out again over this long weekend coming up. I want to go for the k-close.

Background on the girl:
She is a total nerd and doesnt seem to have any real experience with guys. She is introverted as well. The fact that she spent that much time with me was a pretty huge step in my opinion. She has blatantly said no to other guys when they ask if she wants to hang out. She cant say no to me. She gives me a lot of IOI's especially through her body language. I would like to date this girl and I think she may have the wrong idea of what a relationship is like because of her inexperience so its making her question the whole thing even though Im pretty sure emotionally she is really wanting this to happen.

What do you guys think? Should I talk to her about it or go for the kino escalation>>K-close? How should I handle interactions with her this week to aid me to close this weekend?

Sorry for the long text. Thanks again.