Maybe. In your examples, at least the first one, I would say the difference is action, not intent. In your first example one is simply trespassing and the other is burglary. The crime is labeled based on the activity taking place, not the thoughts of the person doing them.
No. The act in both instances is *exactly * the same-- entering your house without permission. The only difference is the intent. The act in question is the entering of the house, not the taking of the TV. That is a separate act, and a separate crime (larceny).