Just so I’m clear, let me verify what you mean. The headlight switch in my cars have always had three positions. Off, Parking Lights, and On.
1) Off=Off, or if there’s a sensor then it turns the headlights on automatically at night.
2) Parking Lights=Amber lights in the front and red lights in the back.
3) On=Headlights and amber lights in front and red lights in rear.
So are you saying that when you put the headlight switch into position # 2, “Parking Lights,” there’s amber lights in the front but no red lights in the back?
Our car only has OFF and a symbol for headlights - only TWO choices. (We have no AUTO on this car).
P.S. The running lights (or daytime lights) come on whenever we start the car, but they ONLY light up in front, NOT the rear.