Taillight and right turn signal not working

check the fuses for a burnt fuse. the taillight circuit has its own fuse and wiring. its possible the headlight switch is bad but this doesn`t happen very often.

it's the grounds if they're both flashing fast it's definitely grounds take a test light and see if its got power goes through the test light grounded to the frame and if the light comes on then it's definitely your grounds

ck fuse for rear taillights tis under the dash lower left of steering wheel. or if you still have the manual look in there under fuses.
also look for a bad ground but i doubt that.. if it's both rear out.
fast flashing well here's a chart with all sorts of info.
Problem What To Do Turn signals light, but do not flash Replace the flasher No turn signals light on either side Check the fuse. Replace if defective.
Check the flasher by substitution.
Check for open circuit, short circuit or poor ground. Both turn signals on one side don't work Check for bad bulbs.
Check for bad ground In both housings. One turn signal light on one side doesn't work Check and/or replace bulb.
Check for corrosion in socket. Clean contacts.
Check for poor ground at socket. Turn signal flashes too fast or too slow Check any bulb on the side flashing too fast. A heavy-duty bulb is probably installed In place of a regular bulb
Check the bulb flashing too slow. A standard bulb was probably installed in place of a heavy-duty bulb
Check for loose connections or corrosion at the bulb socket Indicator lights don't work in either direction Check If the turn signals are working
Check the dash indicator lights
Check the flasher by substitution One Indicator light doesn't light On systems with 1 dash indicator:
- See if the lights work on the same side. Often the filaments have been reversed In systems combining stoplights with taillights and turn signals
- Check the flasher by substitution On systems with 2 Indicators:
- Check the bulbs on the same side
- Check the indicator light bulb
- Check the flasher by substitution
hope this helps. may want to print for future reference. :)
hope this helps.

You could have pinched a wire. Check to see if there is power going to the bulb by using a test light.

You would check the socket with a test light or meter to see if you have power and ground. If no power, the turn signal switch would be the next thing to check.

The only thing left is the wires and the bulb socket. The problem has to be there.

The turn signal switch in the steering column has a short in some models. Have someone watch your brake lights and move the 4 way flasher on top of the column from left to right without deploying the switch for the 4 ways. If your brake lights flash ,the harness needs to be replaced if they are still available. Harness around 300.00 plus labor.

the bulb at the taillight has blown. Replace the bulb. The fast blink is the systems way of saying "Hey, we need a repair here!!"

check all bulbs,inspect sockets for corrosion,rust ,or sighns of overload.follow wires and check connectors if all good ,replace the flasher ,,if that doesnt fix it ,the blinker switch in the steering coulmn would be next

sounds like a faulty underhood fuseblock..have seen lighting issues with these components