Hey, I'm a girl, I'll help!
As it has been a few months after her break up, I very much doubt she's on the rebound. If I split up with my boyfriend today, I'd probably run over to my best boy mates house, and hug him because I'd need to feel the comfort of a man again.
It sounds like she does like you, when a girl likes you, they'll touch you for no reason, just an excuse to get closer to you.
She's probably shy about making the first move incase she ruins your friendship, like any person would be.
Try to arrange more alone time together. We expect guys to make the first move, but that's not the law, of course! Like some others on this thread said, if neither of you make the first move, then you're probably not ready. As for the dream... I believe they tell us a lot. I know they are our sub concious thoughts and whatever you do before bed will most likely be in your dream (it is for me anyway).
I think God answered your prayer.
Good luck.