right turn signal not working

Check the bulb socket really well, it may be damaged. Is there voltage getting to the socket?

This happened to me a while ago. The blinkers go through the hazard switch on the column. Try turning the hazards on and off 20 or 30 times and rock the switch around while doing that. I have to do that with my car about once a year when the blinkers stop working. If it is the hazards switch you will still hear the relay clicking about twice as fast as normal when you turn the blinkers on but the lights will not illuminate on the dash or the marker lights. If you don't hear the relay then you probably have a fuse or flasher issue.