So I read Gary's DIY thread about properly replacing the brake light switch w/o breaking it and followed the instructions exactly. Old switch didn't appear to be broken and the new one was installed correctly.
The brake lights still stay on even if the pedal is not depressed, including third brake light on wagon hatch. This is annoying, not only because the lights are always on, but because it's dangerous for drivers behind me.
I should note that the brake lights do not stay on with the light switch turned to the 'off' position. Also, one of my headlight turn signals comes on when the lights are 'on' and I depress the brake pedal.