Taillight trouble

[kpreal12]

My taillight is acting up my turn signal and break light work fine but when my taillight is on it shuts off so randomly so does my plate light look for possible help using leds

 

[DieHarder]

My taillight is acting up my turn signal and break light work fine but when my taillight is on it shuts off so randomly so does my plate light look for possible help using leds

I would try disconnecting/checking-bending/reconnecting the wire harness for the offending tail light. Then pull the bulb/s; inspect and move them side to side in case the problem is a socket/bulb. Sounds like a loose bulb, loose wire, possible intermittent loss of ground/+12v in the wiring somewhere or an SJB issue (worse). Any codes?

LEDs: Better to troubleshoot and try to eliminate possible causes vs introduce new ones. Many have found that LEDs are leaky and will drain your battery in a week or two if you don't keep it on a trickle charger (ask me how I know).

Here's a couple of wiring diagrams for the tail lights.

Ford Workshop Service & Repair Manuals - fordrepair.info - 2005 Mustang 2005 Mustang Turn signal, stop, hazard lamps

Ford Workshop Service and Repair Manuals, 2005 Mustang Wiring Diagrams Turn Signal, Stop, Hazard Lamps

iihs.net

Ford Workshop Service & Repair Manuals - fordrepair.info - 2005 Mustang 2005 Mustang Turn signal, stop, hazard lamps

Ford Workshop Service and Repair Manuals, 2005 Mustang Wiring Diagrams Turn Signal, Stop, Hazard Lamps

iihs.net

Troubleshooting: https://iihs.net/fsm/?d=387

Diagnosis and testing: https://iihs.net/fsm/?d=389&f=Stoplamps.pdf

Good luck.