I have a freezer that appears to have a thermostat problem and I'm ready to buy parts to fix but am unsure as to the correct part to buy or if I need more than one part.

Here's the problem:

Using 0 as the lowest setting and 10 as the highest, here's the testing and symptoms:

Set temp control knob to 4, compressor runs, freezer works fine.
As it warms up, the knob needs to be turned up to 5-6 then back down to ~3.5 until I here the "click" of the thermostat that turns compressor on.

If I set it to 10 then I must wait for it to warm-up until it hits the 6-7 threshold. I then have to turn back to 5 to find the "click" to engage the thermostat.

Is this simply a Cold control Part Number: AP3426046
or
do I need to buy the Run capacitor - 12 uf. Part Number: AP2071964
and/or
do I need to buy the Relay Part Number: AP3414961

Thanks!
Joe

It requires me (instead of thermostat) to turn the cold setting control knob down and up past the temperature point to activate the compressor.

It there a mechanical coil that determines the thermostat actuation that makes you recommend spraying it down? And is electro cleaner a good spray solution?