Not knowing your fridge model #...is there an AUTO switch? Usually, the check light will come on when it should light, but fails to light - on gas - when there is NO POWER. You might check all your GFI plugs and breakers.
It should run on 110. Sometimes, after mine has sat without running for a couple of weeks it'll take 3 or 4 times of pressing the auto switch, waiting 5 minutes for the check light to come on, then repeating, until it stays on. You may also want to check that none of your GFI plugs are tripped. The fridge is probably on one of those circuits.
Your reefer is definitely on a GFI circuit. First find a GFI outlet, probably on the bathroom vanity and check to see it's not tripped. If it's OK, go outside and remove the access panel and check to see that the reefer is plugged in. There is also a fuse in the black box that should be checked.