Relationship Advice

I am a high schooler, and this girl that I like is part of my school.
She and I are pretty good friends, and we like to hang out on occasions.
However, I feel more for her. We decided one day to go watch The Dark Knight, since she hadn’t seen it yet, and we decided to go to her house to watch it. So, I went to her house, met her parents, and we went down to the basement and watched it. We sat on seperate couches, probably not deliberately, since I sat down first and she sat down second. We did not have any physical contact whatsoever while watching the movie.
Later, she invites me to go see another movie, but instead we changed plans and went to Dave and Busters on New Years Eve. We played arcades there for a while, then went back to my house and she met my parents and family. We watched Horton Hears a Who, played board games, and other stuff. Then, we went and had dinner at her house with her family and we did other games and stuff there.
I invited her to Homecoming, and she said yes. There, we danced about 5-6 times, slow-dancing, and we would always look into each other’s eyes every so often. Eventually, we started singing the song to each other, but everyone else was too, so I don’t know if that was a sign or not.
She likes to make me laugh, I like to make her laugh, we enjoy each other’s company and we definitely hang out outside of school. As far as I know, she has not invited any other guys to hang out outside of school other than me. She still flirts with other guys or just acts nice to them, I don’t know which. But, it always seems like, despite all these things that we do together outside school, she seems to not be as interested in me during school or anything.
I told her my feelings, and she said she felt something there too, but that she wanted to take it very slow, and that we’re just good friends for now. But I really don’t know how to approach the situation or what to do about it. It seems like we like each other and that we’re even dating whenever we’re outside of school. We’ve done all the things that “exclusive couples” do. We’ve met each other’s parents, and we’ve been to each other’s houses, and I drive her to our many experiences together.
On top of this, with her acting as friends on occasion and as more on occasion, she’s always the one that invites me to all these get togethers outside of school, so my question is, would a girl really invite a boy to go somewhere outside of school multiple times if she didn’t really have any feelings for him? And what does this all mean?
The help would be greatly appreciated.