Intense interests can be a sign of hyperfocus- and add/adhd trait. That could be what you are talking about. Social skills issues can also be a result of impulsive behavior (blurting things out, not knowing how to relate, etc).

Anxiety/depression and add/adhd often are comorbid, so there could be an anxiety/depression diagnosis as well.

I don't know enough about AS to say anything but it definately sounds like you could have multiple things going on. As someone with ADHD and anxiety/depression, I can relate to many of the things you mentioned. My best suggestion is to get an evluation by a professional to sort it all out.