1- yes
2- hard to say - she shares interests with some of the kids in her class, but doesn't understand that they dont always want to talk about them, and she doesn't have good listening or conversation skills
3- absolutely
4- if she is drilled beforehand she can modify a little, but as soon as she becomes engrossed in her activity it all goes out of the window
5- I'm not sure. There are kids in her class that have been friends since preschool, and a lot of SAHMs in our small town so there are lots of playdates and extracurriculars that they take together. But I don't know if she sees the differences between how they interact and how she interacts with other kids.
6- she really wants to be friends with a few of them.

There was one girl she became close with at summer day camp last year, we really tried to help grow the friendship by having play dates and letting them take tumbling class together, but at the playdates my daughter would just do her own thing and get upset when her friend didn't want to do what she wanted to do. At tumbling her friend turned out to be really good at it, whereas mine put virtually no effort in and stood around trying to chat to the other kids the whole time (about stuff they weren't interested in).

We haven't had a playdate in a while as the mom seems to be avoiding me and the tumbling teacher kind of made it clear that she wasn't welcome for the second session of classes. I think that as the other girl is growing up and realizing my daughter's behavior is kind of immature and annoying she is less interested in being friends with her. I think the other parents also thought she was pretty rude in their home and didn't appreciate it.