firstly
you need to check to see if the car has a current draw while turned off, I may be that which is causing your problems and not a lack of charging or a duff battery
If there is not quiescent current draw when the car is off, when it is worth checking the main charging cable, the one in my car had gone hard in places and even though 14.4V was showing at the batterery with the engine running no real current wads getting through to charge the battery (the one from the alternator to the battery)
You say your car is charging ok, how have you checked this ?