Welcome to the forum.
Yes Gen and shore power will supply 110 to your outlets and house batteries will supply the 12v needed for your control boards.
To keep the house batteries charged until you can get converter/inverter fixed use a 12v battery charger feeding out of a 110 outlet.
Be careful when disconnecting the inverter and reconnect.
In QT's # 3
there is information on inverters/converters used by Newmar.
A power surge may have effected your transfer switch also you need a Surge Protector to eliminate this problem.