Hey, did you know that you don't have a reset button on your brake switch?
Sorry, I couldn't help it. Anyway, it looks as if you have the switch with no reset button. You can try pressing that center post, but I don't think it will do anything.
See if the switch is closed or open. When closed, it makes the brake warning light blink. Just put an ohmmeter or continuity tester on the two terminals. If they're open, the switch is not causing your blinking light--it's somewhere else in the circuit.
--DD