Thanks for your comments and replies.
Yes, when someone is crying I find myself crying too. Maybe it's some kind of "universal suffering" that I'm reacting to. Even when I watch movies, I can get really upset and emotional about the "characters" in it, because they are real to me, for the time being.
About hugging... Sometimes I am very hugg-y, with someone I know well, and sometimes, if I feel even MORE emotion, I turn stiff, and it becomes too difficult to hug. The truth is, I am feeling even MORE feelings, but I come across as cold because the person just sees that I am stiff.
I've noticed that I sometimes walk funny (sort of stiff) if I am approaching someone I have a lot of feelings for!