1. Blown fuses: Check the fuse box in your vehicle and ensure that the fuses linked to the brake and rear turn signal circuits are intact.
2. Faulty bulbs: Check the bulbs in the brake lights and turn signals to make sure they haven't burned out.
3. Worn-out sockets: The electrical sockets that the bulbs fit into can become worn or corroded over time. Check the sockets and replace them if you see evidence of damage or corrosion.
4. Faulty wiring: The wires that carry electrical power to the lights can break or become damaged. Inspect the wiring harness for damage or loose connections.
5. Bad turn signal switch: The turn signal switch is responsible for sending power to the turn signals when you move the lever. If it's faulty, the turn signals won't work.
6. Bad brake light switch: The brake light switch is activated when you press the brake pedal, which then turns on the brake lights. If the switch is faulty, it will keep the brake lights from coming on.
If you're not confident in your ability to diagnose and fix the problem yourself, it's best to take your vehicle to an auto repair shop and let them perform the repairs for you.