Remove the serpentine belt and run the engine to see if the whine still exists. If the whine is gone, try moving the pullies by hand to feel what pully is rough or has a lot of play. Your issue with the heat is likely separate from the whine. You have air in the cooling system. With the engine cold, remove the radiator cap. Fill the radiator to the top and run the engine until it gets to operating temp. The level in the radiator will drop, this is when you add more coolant and replace the cap. Make sure your overflow/resivoir bottle is half full with coolant.