We use Malaga as our homebase and rent a car.
From Malaga to Granada is right at two hours. We always park at the top of Alhambra in a free public parking area. Doing so avoids any need to drive into old town granada. Use google and google earth to learn and locate the parking area. Add 45 minutes to your journey from Marbella. There is no need to use toll roads. Goto the Via Michelln web site for an excellent on line map.
Please obtain an IDP from AAA as it is required by law.
From Marbella to Seville is just over two hours, BUT you really do not want to drive into old town seville. Nor would i recommend doing two separate day trips just to get to seville and then to cordoba. Highly recommend you go to seville and spend the night then go onto cordoba the next day.
I understand about wanting to max the use of your free nights, but please consider how much time and hassle you are adding by doing lengthy day trips. The most valuable vacation commodity you have is time so spend it wisely.