Look for power on the Brown wire coming out of the headlamp switch (in Park/Head positions). No power on BN wire = bad headlamp switch.
Front left, front right and rear each have their own seperate ground, so it's NOT a ground.
If you've only lost the REAR parking lamps, start at the connector at the center of the rear of the bed, check BN wire for 12v. If that is good, clean the ground, G200, located below the fuse panel on the driver side of the dash, may be under the kick panel / parking brake.
There may be a parking lamp relay in the fuse box, under the hood, slot #13, but ONLY IF you have remote keyless entry.
Swap it with the washer pump relay in slot #14.