RE: Battery keeps dying??!!
I'd have the alternator checked. it is possible for one of the alternator phases to go bad. the remaining two will run the vehicle, but limit output so that there's nothing left to charge the batt, especially when you have to run lights, wipers, heater blower, rear defrost , etc on those cold winter mornings, thus slowly draining your batt.
also make sure you have good, tight, corrosion free connections everywhere.