Don't know about the radio coming on by itself but the house connection to 120VAC 15A/20A Receptable works fine for me. I do run a heavy duty extension cord either 12GA (12-3) or 10GA (10-3)... The RED-ORANGE 16GA (16-3) Extension Cord from WALMART will have to much voltage drop to use for the 30A trailer setup...
I also only use the RV30A-15A LONG dog bone type adapter (WALMART). The little round small adapters will get you into trouble real easy...
This is what I use...
I can run everything in my 30A Trailer but on some items like the Air Conditioner and high wattage Microwave I have to use them one at a time...
Roy Ken