I am in Alabama, climate zone 3. Half of my basement is finished, well at least it has a dropped ceiling, wood panel walls, an air supply and return, but no insulation. There is an uninsulated partition wall with some gaps near the AC ductwork dividing the basement roughly in half. On the other side is an incidentally heated space containing a water heater, furnace, and dryer. It also has a single car roll up garage door. All the flooring above is hardwood or tile.
The basement is roughly 20'*60' using cinderblock construction. One of the long walls is completely below grade while the other is completely above grade. All the below grade walls have some sort of vapor barrier installed.
How should I go about insulating this space? I'm thinking foam board would be the best way to go. Should I insulate the section of wall that's below grade? And what should I do about the vapor barrier? Also, is there any good way to insulate the garage door? And finally should I add insulation to the ceiling of the incidentally heated unfinished side of the basement? The side of the house above that part of the basement gets noticably colder.
Pics of everything: https://imgur.com/gallery/6Mc8Oxa