The post by
projectSHO89 gives an excellent overview of the dilemma presented by a short.
Fuse 34 circuits are in pass compartment (including under console) and ignition switch involved. Starter circuitry involved with your short is in engine compartment but ignition switch also involved. My guess on diodes was based on ease of testing and possiblity problems were related. No such luck.
Have to assume problem is coincidental and unrelated and
BigJim's post outlines the most likely location of a component failure that would cause the problem. You could visibly check the brake switches and their wiring located beside the brake pedal arm before starting with console removal, but the clicking does tend to confirm they are ok. Wiring from console runs to a 16 pin connector behind right kick panel. Unfortunately removal of console not an easy task with atx due in part to difficulties removing the switches/wiring associated with shift lever. I'll add a link re handle removal that I saw recently, for your info.
shift handle removal
Post again if you need any more guidance.