Park lamps iluminate with brakes

Every thing is looking good.

Let's be sure you really have an issue.

With headlight switch all the way in.

Go look at all parking, turn signal and break lights.

All should be off

Next pull headlight switch to first stop(parking lights) do the same as above,
Front parking lights should be on, rear lights should be on but dim.

With switch in the same position, use a block of wood or something to force the brake pedal down so the brake lights are on.

Check the lights, front parking lights should be on, rear brake lights should be brighter then before.

Now pull headlight switch to full on position, release the brake pedal.

Check lights, headlights should be on, front parking lights may or may not be on, the rear brake lights should be on but dim.

Now pull headlight switch to full on position, depress the brake pedal.

Check lights, headlights should be on, front parking lights may or may not be on, the rear brake lights should be on brighter.