Its possible that some wires are loose, considering both rear speakers are not working and not just one. Your best bet is to check for any loose wires behind the front deck or behind the rear speakers.
check wiring on passengers side near the rear hatch speaker, the rear door speakers are run through them also. i had the same problem and it was a unplugged connector at that location
start with main fuse panel, looking for a blown one, unlikely to be blown speakers unless you play real loud!!
first> road vibrations can cause cable connections to come loose so you can start by taking out your radio and making sure all of the questions in the back are connected as they should be.
Second> if this doesnt seem to work then the next step is to check the wires going to the speakers that arnt working (this will b quite a job, but if you can do it, it will save u quite a bit of money) .. checking the wires your checking for >bad connection to the speakers >cuts in the wire or if any part of the wire is touchin any other metal object
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I flooded my Eclipse and the AMP is under the passenger seat. Might have got wet and ruined it. They are expensive from the dealership ($900). Try a junk yard.