My freezer is freezing up and we can't move the control at the back of the freezer

With signs of freezing up in freezer area that would indicate a problem with the defrost components. The most likely reason would be a defrost control board. 2304093 Defrost Control Board
Here is a link to a parts manual for your model=> GR2FHTXVQ00.pdf(1101.27 KB) Look on page 3 and part location 4 That is the=> 2304093 Defrost Control BoardThe next possible parts are the 2314157 Defrost Heater Assembly found as item location 4 on page 9 of the PDF. It may be a good idea to change the defrost thermostat=> 2321800 Defrost Thermostat found on page 3 with item location 28. If you have questions please let me know, Thanks John TrippAppliance 911
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Sounds like one or more of you defrost coils behind the back wall have gone bad...

You have to purchase the correct coil set for that model, remove the back wall, replace them and put the back cover back in place after emptying the entire contents of the freezer...

Most non HVAC people would prefer a repairman to do it.

I have found that certain types of food will freeze when left against the back wall of the refrigerator, which is where the cold air circulates down from the freezer..moving it away from the back wall can help...

Side by Side ModelsIf foods, such as fruits and vegetables, in the refrigerator are freezing, it can be caused by several things. First, check the controls. They should be set at "C" and "5" or "5" and "5". The proper fresh food temperature is between 38 and 42 degrees Fahrenheit. The freezer should be between 0 and 8 degrees Fahrenheit.

• If food in the bottom of the refrigerator is freezing, this could be caused by a refrigerator not having enough food to absorb the cold air.
• If food in the door is freezing, move the door bins up or down so they are one notch away from freezer vents (Side by Side models only).
• The fresh food control should be at the normal setting of 5.

Freezer on Top Models
First, check the controls. They should be set at "C" and "5" or "5" and "5". The proper fresh food temperature is between 38 and 42 degrees Fahrenehit. The freezer should be between 0 and 8 degrees Fahrenheit.

• Since the cold air coming into the fresh food section originates in the freezer above, the rear of the top shelf will be the coldest spot in the fresh food area. Avoid placing delicate items that freeze easily on the back half of this shelf.
• If food is freezing in the produce (fruits and vegetables) or meat pan, it may be that the temperature controls are not set high enough. Since cold air naturally falls, the pans can get too cold if the refrigerator is not running long enough to maintain good air circulation. Adjust both controls up one notch.

The temp control in the fridge actually moves the flap the opens and closes in the venting between fridge and freezer. This vent can get stuck or frozen in one direction. A good thawing out which is recommend once a year for any unit is not a bad idea.

Thawing of this vent and flap are a good idea. Once it is thawed out or unstuck, then move the temp control around to see if the flap will move. Then you can turn it down so freezer is colder and fridge is not freezing up.

The problem isn't the humidity control or temperature control. When the refrigerator automatically defrosts it goes through a cycle of heating and melting the ice build-up then drains this water to a tray at the bottom of the refrigerator (underneath). The drain tube that lets this water flow down to the bottom tray freezes so the ice begins to build inside the refrigerator section.

The solution to this is to defrost the tube so water can flow again. There are heating coils in the freezer section behind the plastic in the back that you must remove and defrost.

This is an inherent problem with a lot of refrigerator/freezers. You should probably have your refrigerator serviced and to check the heating capability of the coils to keep this tube from freezing. Otherwise put this on your monthly schedule of manually defrosting.

Since your freezer control is the main thermostat , and your refrig control is only a damper , lower your freezer setting and turn the refrig control mid way . This will make the refrig run less , and keep the air flow moving , throughout the complete unit . When the airflow stops , by turning down the refrig control ( closing the damper ) , all the cold air will settle in the refrig section , thereby freezing everything in the lower section .
Since the water line runs thru the freezer door , too cold in the freezer section , will cause the water in the line to freeze . I would also suggest installing a dispensor heater ( pt. # WR49X10173 ) , which would hopefully avoid water line freeze , in the future . This part comes with installation instructions .

Replace the temperature cold control.
That is the on/off control.

is this something that has just started happening? Most kenmore top freezers have a vent that allows cold air from the freezer into the refrig through a vent located on the back wall in the center of the refrig section. if packages are pushed up under this vent they can freeze. 

If you have widespread freezing in the refrig setion then a temperature control could be the fault. thanks for using fixya. Peyton..

i never go by that / just hold my finger over the air port and move it till i feel move air or less to set it the way i need it ,,, less air puts less air into crisper to cut down on freezing