did the PO wire into the factory wiring, or did he/she run new speaker wire/power/ground?
if they ran new speaker wire, and didn't run it through the factory loom, the wire can wear through over time and you could be shorting out near your door hinges.
if they didn't heatshrink the connections at the back of the headunit, something could be exposed back there and shorting out against the chassis on bumps.
either way, sounds like something is shorting out somewhere.