Great, thanks for the information "gindajatt1"! I wasn't sure about the illuminated Brake Light. I found it a bit strange that Handbrake light is no illuminated as well, as I was not sure they were tied together. But it sounds as if the Handbrake light does become activated once the CBS light for brakes is activated.
'11 BMW 335i M-Sport Coupe xDrive [LeMans Blue] - Exotics Tuning CF Lip, CF BMW Performance Diffuser, M3 Spoiler, Eibach Springs/Bilstein Shocks, 35% Tint
'07 BMW 335i Coupe
'03 BMW Z4 3.0i