Couple questions...
Jameshmcroy; Did this problem develop gradually, or did it happen all at once? Do you know any history on the unit?
The thermostat sensing tube is designed to be attached along the aluminum support at the rear edge of the fridge evaporator. There should be a series of clips keeping it in contact with the aluminum. I think I see them in your picture but it is difficult to tell. If the tube isn't touching the aluminum, it will affect the control.
On these, the control has a design weakness. The sensing tube is routed straight up from the control into the cabinet. It's right under the evaporator where water collects. This allows a path for water drips to run along the sensing tube and reach the inside of the control. Yours is still configured routed in this manner. If you determine that the freezer is reaching at least -10 as per John's advice - but the unit isn't cycling off; then you may want to investigate the control for water damage.
It is best to route the control tube so that there is a "drip loop" to allow and water beads to fall off the sensing tube before they can travel along the tube and get into the control or insulation around the control.
Sincerely,
David