Try Google Images - enter Fridge Thermostat
There are several circuit diagrams that might help you.
From what I can determine live comes in and is sent through switches inside the thermostat unit to the lamp and its door switch - and - via the temperature sensor - to the compressor.
I am not an appliance engineer and not an electrician.
Please use fewer full stops - they. make. understanding. more. difficult.
Good Luck..., April 2016