We have been battling brake light issues for years. Never seemed to be able to get them to work properly. No running lights or no brake light or driver side would work and passenger side wouldn't. Well yesterday I think we found the solution ! The main problem was the BRAKE LIGHT SWITCH. Picked up the part at Advance Auto Parts for $11.99, replaced it and now EVERYTHING WORKS!
I know there are lots of people plagued with these brake light issues. I have read numerous post while searching for help with this problem over the years. Please try replacing your brake light switch, you'll be glad you did.