The most likely problem is one I have found on other make cars. The tail lights are truly assemblies on newer cars. Older cars had light bulb sockets which had to be removed from inside the trunk to be re-lamped. Tail lights now are completely removed from the body to be re-lamped. Most tail lights need to have a wiring harness unplugged fro complete removal. The back panel of the tail light then must be disassembled in some manner to gain access to the bulbs. This panel is where the problem lies. In the bottom of each bulb socket are pins which make contact with the base of the bulb. These pins can become bent or corroded and cause the problem you describe. (just got done doing a similar repair to my daughter's Grand Am. Bent pins not making contact).
If the night running lights have failed the bulbs should be checked. Find the bulb housings and remove the parts. After the bulbs are replaced check the lights.
The light switch.
I just replaced my bulbs and I also have the same problem. I have a 99 Toyota Camry and replaced with 7000k Xenon bulbs? Have you found the solution yet?I had the same problem with my 94 Nissan Pathfinder, the turn signal switch needs to be replaced. I didn't find this until all my lights went out including my dashboard and the low beam was the only lights working.
Try the fixes offered in the "Related Question" below... Chances are really good they'll work for you.
The taillight housiong on these trucks have a known problem. On the backside of the taillight housing is a circuitboard. They go bad.
Have your alternator checked out.
That is the Service Engine Soon light. You need to have the vehicle checked at your earliest convenience.
the reverse switch in the transmission
Working brake lights are important for safety reasons while driving. It is important to check all of the wiring, if the brake lights are not working and the fuses and bulbs have been checked.
Brake light switch might need to be replaced. Simpler answer would be a blown fuse.
Very possible ... best to check the wiring with a voltmeter checking for +12vdc.
It would help us to know what make, model and year you have.