NO Brake Lights or Turn Signals
Because neither brake light nor turn signals work, it is unlikely that it's due to burnout of all of the bulb filaments at the same time.
Without doing a "hands on troubleshooting" of the circuits involved no one can tell you what specific defect is causing the problem.
However, here are some of the possible causes you need to check for:
There are probably a few more that I can't think of now. Good luck!
turn signal switch needs replaced!
Probably the flasher unit needs to be replaced. This is an electronic switch which usually mounts underneath the dashboard.
Assuming the signal lights still work, no. But a bad brake light switch or a blown brake light fuse could.
either dimmer switch or blown fuse If you are saying that the tail brake lights are working but the third brake light is not....It may be a defective turn signal switch in the steering column.
It needs checked out but both the hazard and brake lights go through the turn signal switch.
If the turn signal is working it's either the brake light switch or the turn signal switch.
I would check the running lights for one with a short. I had the same sort of thing with my trailer and I spent way to much time troubleshooting the brake and signal wires. Turns out a running light bulb connector was grounding out on the trailer and messing it all up.
Bad bulbs? Sockets corroded?
If the fuses and bulbs are okay I would blame the signal switch assembly. They call it a multi-function switch these days.
blubs blown? Check the turn signal switch.
the turn signal switch is probably bad
Fuse