[rpmerf]

These MIGHT all share a ground. I would likely start with a test light from the battery ground to the socket or connector. Ensure you are getting power over there. I would think it would be odd to loose power to that location only otherwise. Right headlights out, with the left headlight still working. Front park and turn not working while the rears still work. Seems location and ground would be the common element between the non working bulbs.