I'd be a hypocrite for saying this but don't try to read too much into every little thing. I also think too much like that. The crash from misreading a false-flag and building up from it is quite bad. There was one I experienced that took me a week to recover. Not analyzing too much would help you both ways for not getting disappointed; but also for being happier if there happens to be a real flag there.
As far as interactions go I think as with most girls, you'd have to initiate the line of conversation. After that, all you can do at that point is to wait for her responses and gauge how to go on from there. So the fact that she didn't tell your name when you didn't tell yours first, is what I expected, given the situation. Imo it's hard to find girls that initiate a line of conversation if you guys are practically strangers.
But take my words with a grain of salt. I'm quite inexperienced on this field as well...