Which fridge do you have? telling us the make and model helps as they put different units in the RV's at different times.
On Dometic models, the check light means that the propane burner didn't light.
Is the light that's on the 'Auto' light or the 'Check' light? If it's the 'Auto' light and it's not cooling on electric, then I'd suspect that either the element is bad or you have a blown fuse on the control board.
Salem 29RKSS Pushing a 2500 Mega-Cab CTD!
Gotta go campin!