There were many issues with the HVAC operation on the Grand Cherokee's. The Blend Air door tend to break causing loss of heat control, in the case of dual zone, one side may be ok while the other side does not react to changes. The same applied to the fresh air / recir door.
The is a Factory Technical Service Bulletin to address this issue. It requires replacing the HVAC housing.
TSB NUMBER: 24-002-10; GROUP: Heating & Air Conditioning; DATE: January 13, 2010 New HVAC Sub-Assembly Replaces Blend Or Recirc Door Components.
The job on this vehicle is easier than most. It requires about 6 hours labor and a good qualified JEEP technician should easily be able to perform this repair. When I worked at the dealership, it typically took me about 4.5 hours to complete the job. Here is a link to shops in your area; http://repairpal.com/directory?address=02914&car_brand_na...