So, can a hero use throwing weapon or magic if he wins fight and moves to next fight? So a hero could use magic/throwing weapon twice in a turn?

Also, if there is let's say 1 hero and 1 orc against 1 human, does this orc also get right to move withing heroic combat or just the hero?

He can't use magic or throwing weapons since you can do it only during Move phase.
The orc gets the right to move if Evil side has won during an heroic combat he participated launched by an hero from the Evil side.