No brake lights or turning signals

If both the brake lights and rear turn signals are not functioning in your 2008 Dodge Charger, there are several possible causes to consider. Here are some common issues that could lead to this problem:
1. Blown fuses: Check the fuse box for any blown fuses related to the brake lights and turn signals. A blown fuse can interrupt the circuit and prevent the lights from working. Refer to your vehicle's manual to locate the specific fuse for these functions and replace it if necessary.
2. Faulty bulbs: Inspect the bulbs in the brake lights and turn signals to see if they are burnt out or damaged. If a bulb is not working, it should be replaced. It's possible that multiple bulbs have failed simultaneously, leading to both the brake lights and turn signals not functioning.
3. Wiring issues: Check the wiring connections and harnesses for any signs of damage, loose connections, or corrosion. Faulty wiring can disrupt the electrical flow and prevent the lights from operating. Repair or replace any damaged wiring as needed.
4. Malfunctioning brake light switch: The brake light switch, located near the brake pedal, activates the brake lights when the pedal is pressed. If the switch is faulty or misaligned, it can cause the brake lights to not work. Consider having the brake light switch inspected and replaced if necessary.
5. Faulty turn signal relay: The turn signal relay controls the flashing of the turn signals. If the relay is defective, it can prevent the rear turn signals from operating. Consider replacing the turn signal relay if other potential causes have been ruled out.
If troubleshooting these common issues does not resolve the problem, it is recommended to consult a professional mechanic or authorized Dodge service center for a more accurate diagnosis and repair. They will have the expertise and necessary tools to pinpoint and fix the specific issue with your 2008 Dodge Charger's brake lights and rear turn signals.

check relay in fuse block under hood

check your fuse and relays

Change the bulb.The bulb has two lights.Running,and brake light turn signal.Its the bulb

I assume the fuse has power if the hazards work.
The third brake light skips the turn signal switch, the regular brake light circuit goes thru the turn signal switch.
Do you have power going into the turn signal switch on the red lite green wire from the brake switch ?

wireing harness short

Yes, it does have a flasher, although it may be a combined unit with the hazard flashers relay. So you hear the clicking of the flasher relay? That seems to indicate the relay is working properly. Have you checked the bulbs and the turn signal fuse? Any turn signal bulbs light up anywhere, front or back?
How about your brake lights, do they work? Your car may have separate, stand alone turn signals in the rear, but many American cars use the same bulb and same filament on the bulb for the brake lights and turn signals. If your merc is like this and the brake lights work, then the bulb must be good.
Turn on the hazard flashers and see if all bulbs work and flash at each corner of the car. This would be the same bulb as for the turn signals. If they work, it could be a bad turn signal switch, may even be the flasher relay somehow malfunctioning, and in a few cases, a bad hazard switch can affect the turn signal switch. Check fuses and bulbs first. If you have any type of body control module that controls lights and other accessories, you may have to investigate that. I know I'm not being very helpful, just throwing out a few suggestions. Good luck.

the brake lights and the rear turn signals should be the same bulb check the bulbs to make sure they are not blown does your third brake light work if all brake light are out and the bulbs are good check the brake light switch on the brake pedal

I seriously doubt the right rear turn signal is fused all by itself. if the other signals function it isn't a fuse. Check the bulbs closer and also if someone wired in trailer lights start looking there first, they probably used scotch locks to connect wires and something isn't connected well or corroded etc..

Did you actually check the bulbs? I believe your brake lights, signal lights, hazards all use the same bulb for each side.

Your brake lights may be your brake switch just above your brake pedal.
The signals could be your electronic flasher module (EFM) located under the dash near the steering column.
Your hazards may be affected by the EFM, but not likely and the switch for your hazards may be faulty