My 2002 Sportage had similar issues with electrical. When we would open any door other than the rear hatch, all door locks would lock and unlock on their own several times. What would up being the issue was some light corrosion on connectors inside the engine compartment. Primarily one that resides below the battery, between the battery and engine toward the rear of the compartment. I would start with easy DIY things like that first.
Also, is there, or was there an after-market security device or accessory installed. A lot of times the installers don't give a crap about your car and just "get it in". If they used crimp splice connectors this can cause strange intermittent issues like this. Since it's the brake and blinker that set it off, I would check for loose or broken wires and connections under the driver side console.
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