<human>: Can you provide a brief rundown of the text in within 3 sentences?

Some back story first, I met her maybe 4-5 months ago through a mutual friend and she did not leave an impression on me.  Fast forward to July 4th and I still did not talk to her much there.  Then a few weeks later, talking to her online on top of taking her to the Batman Trilogy, I felt like we hit it off.  I sat next to her as it was with the mutual friend and his GF.

Anyway, from there, we talked online more frequently, conversations weren't meaningful to be honest but I started hanging out with her more since the beginning of August.  It all started with my friend's birthday where I took her to the zoo.  I learned that she is having surgery soon on top of closing on a house by the end of the month.  About once-twice a week I hung out with her albeit with the mutual friend couple.  I took her to the mall, underwater aquarium, and the park there within the mall.  

The week before her surgery and House closing, I asked her out on a 'date' to see Paranorman.  I pair for everything, movie, snacks, and an appetizer at the end.  Then she moved and I helped her out those three days before her surgery.  While she was gone I offered to visit but we both agreed upon not doing it.  I took care of her pets the next few days.  When she came back she called me up to hang out to keep her company.  From there, she has called me back multiple times to come up and hang out.  I have been making sure she is eating and showing some infatuation like rubbing her hand and touching her a little more as in a flirtatious style.  I have planned to keep her company the last few days and the next couple days from what I can tell and making sure she is taken care of.

What I want to know is am I going too far/doing too much?  We aren't dating but we have jokingly said comments about bf/gf's on top of marriage as well for the future.
<bot>: I am infatuated by a girl and have been hanging out with her for the last week.  Talking to her more, etc.  Am I doing too much?