If I am in the US and asking if you're travelling here, I'd ask if you're coming to the US. If I were in Europe (or anywhere else), I'd ask if you were going to the US. It's the same as the previous example: if I'm already at Sarah's house, I'd ask if you were coming also. If not, I'd ask if you were going there.
Hej Susan. In English, we would never say "do you go over to me", but rather, "are you coming (over) to me". If somebody is moving towards you, they are coming. If they are moving away from you, then they are going.