If you look between the right brake lever on the bars and the mount, you'll see a tiny switch in there that contacts the handle when you release the handle to break the circuit that light's the brake light. If the handles were removed and reinstalled, it's a good chance that the brake light switch was broken off in the process if it was not done right. I've also seen them where they needed a tiny touch of WD40 when they were sticking too. This link will give you some understanding of the disassembly/replacement of the switch housings. http://www.hdtimeline.com/attachments/j00445-2-pdf.14910/
Pdf not found. Could someone reupload it of send me a copy .have to replace mine on a 93 flstc Thanks