Young couple goes on van tour of US, boy comes back with van - no girl

How does law enforcement know if the gunshot was by suicide or murder?

Angle of the shot, the shot itself leaving telltale burns around the wound, powder residue on the hands.

Is it possible someone could set all of that up? Sure. But you can't assume that without further evidence.

Just because everything is going great doesn't mean someone who's depressed and suicidal won't go through with it. It's not a logical process.