The silver ones laying on the brim? Those are adornments at the end of campaign cords on the hat, which is called a campaign hat.
Originally they were to show the rank, unit, or some other special significance in the military. But since then, the hat is worn by non-military like scouts and park rangers and police as well.
I would assume the color of the cord denotes some sort of rank with a state trooper.
ETA - ack - beat while typing.
