It actually is easier to run a whole new cable to the back of the car than it is to solder a new aerial plug on,needs a 5 metre cable and should be a tenner at the most and don't forget the adaptor for the base of the aerial connector as well.
Rear speakers not working,what headunit have you got? If it's a Beta tape deck then it only has front speaker outputs and your car won't have any rear speakers fitted,even if the grills are there.
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