To check outthe converter, you need to know what it is supposed to. do.
Sounds like your converter is doing not much of anything (when plugged in, should be providing all 12V power while charging batteries) and you've been running on battery power.
Starting points, the convertor will be on a breaker on the 120 V side. Make sure that is not open. It will be fused or on a breaker, one or more circuits, on the 12V side.
Those checked, you need to determine whether shore power is even getting to the RV from the plug, i.e is 120v stuff working, hot at supply side of breaker box. Sometimes the problem is shore power plug, wiring to breaker box, or over the exterior circuit you plugged into.