Am I a sociopath? Do sociopaths cry during sad movies?

I'd say no, but it sounds like you might have some similar issues. Sociopaths are incapable of feeling empathy, which clearly you're not. But at the same time, it sounds like you're having some trouble feeling for the people in your life right now, and you have a history of doing things that hurt people and animals... if I were in your place, I might try to find a psychotherapist who I felt I could trust. You aren't dead inside now, but if that trend continues... well, besides the trouble you could get into, you could miss out on making meaningful connections with real people.