Rear right brake light/turn indicator are not working on my 2002

front still ok ???? U don't have brake light's on the front of the vehicle .Which brake light's ? center high mounted , right , left ???? All of them don't work ? Fuse - brake lamp switch , rear electronic module . The brake light switch is a input to the rear electronic module ,the rear electronic module turns on the brake lamps .
free wiring diagrams here http://www.bbbind.com/free-tsb Enter vehicle info. , year , make , model an engine size. Under system click on lighting , then under subsystem click on turn signal lamps . Click the search button then the blue link . Look on the right side of the first diagram . See the brake pedal position switch , fuse at the top an rear electronic module at the bottom . Second diagram show's rear electronic control module

This is a typica grounding error. You should try to add a good ground cable to your tail light. Sound strange but this often solves such issue:)

Bad bulb ,& or socket

CHANGE THE BRAKE SENSOR BEHIND THE BRAKE PADEL IT A SWITCH

as for the faster flashing thats as simple as a blown bulb, replace the bulb and see if that fixes the problem, it may fix the lot because the other symptoms you mention are a bad connection, if bulb is fine check the connection isnt loose or corroded over. if it is simply file it back to establish better connectivity,

Replace the turn signal switch. Bad contact inside causing a crossing of the circuits. When the turn signal is applied it should open the brake light circuit allowing for just the signal to work. Doesn't sound like the switch is doing it's job.

check and replace the bulb in the rear left light, the fast blink is normal when the front or rear bulb is out, the brake light not working indicates which one is out

no disrespect but....
Check the book and make sure you are using the proper bulbs on all sides. (3957 looks just like 3956 but wont work right)

I have a 2002 Chev Cavalier that had the same exact problem. I replaced the bulb harness (purchased from a chevy dealership for around $5) which was fairly easy to do. I have had zero problems with it since.

any time you have a crazy electrical problem always check ground connections