OK, but the lighting is 12vdc. Power for that is supplied by your "house" battery(s), or the convertor. If you have lighting on battery alone, then you know that system works. If you do NOT have lighting with the house battery disconnected and shore power connected, then the convertor is not producing 12vdc.
Now, being as we don't live with you between your ears, one of us needs to risk upsetting you with the question of "how much do you know about working with electricity?" The answer will let us know how we should answer your questions.
And I'm still wondering how you managed to plug a 30 or 50 amp RV plug into a 240 volt, 30 amp receptacle. Industry standards won't allow them to match up like that without an adapter. (Which is the wrong way to do it in the first place.) Like "TheLooks" suggested.....pics of your RV plug, and the offending receptacle would be appropriate, here.
Roger
