This is the gas valve for your refrigerator:
It is normally opened by 12 volts applied to the solenoid but if the screwdriver valve is aligned across the flow (instead of in-line with the flow) it will shut off the gas as well.
Is the solenoid clicking when the refrigerator is switched to gas? Does the flame lighter start clicking? If yes, you may have a gas problem. If no you may have a controller problem.