In my honest and humble opinion social anxiety sounds more likely to me. You don't have all the symptoms of AS, but the ones you do have could be explained by other conditions. e.g. not making eye contact with strangers - social anxiety? You also sound very anxious about this in your post.
"Narrow interests" can mean a limited number of interests (which is common), but with AS narrow interests are also limited in scope e.g. dinosaurs (most likely with children), lighthouses (I read on another forum), steam engines, etc. It could be anything really. They also very intense, e.g. knowing all the latin names for dinosaurs, spending hours researching with no breaks, having to read every book and watch every tv programme on the subject.
I know you said no doctor comments, but no one on a forum can even say for sure what you may or not have. Being formally tested is the only way to know for sure.