only thing in the turn sig cup likely to be a problem is the switch, but could be some bad connections at the big connector where the wires come out of the column or in that tangle of connectors under the floor
stop light power goes from the headlight switch to the brake light switch to the turn signal switch [where it is interrupted fot the side selected, if any] then carries on to the tail - if the turn signals work the problem with the brake lights is more likely in wiring ... wiring shown
towards the last page hereBill