THe fridge on my RV is a Dometic. do not know if yours is the same.
120 volt operation starts with an outlet in the OUTSIDE Fridge compartment. Check for POWER at that outlet.. Eithe ACE or True Value sells a nice little plug in pass through "path light" indicator light. I can not find it online but I have 3 of 'em in the RV. not quite clear plastic/rubberish block with 3 pin plug and outlet and NEON light in the nmiddle.. Plug one of these in between the Fridge Plug and the outlet. NO LIGHT problem found.
Next the power goes to a board on the bottom of the outside compartment, all exposed terminals and glass cartridge fuses..
THEN it goes to the control board and relays