There are some easy tests that may help lead to the solution but we may need to be clear on some things before starting.
There are three different power systems in the RV. I think you will be saying that the 110AC things like the microwave are working when plugged in and not a problem. But I'm somewhat guessing when you say things don't work? Can we assume that it is the inside lights, fans and water pump, that are not working when not plugged in? those would be on the coach batteries to work when not plugged but use the power from the converter when you are plugged in.
It sounds like it may be somethng in the path from the batteries to those items but we should do a quick test before saying batteries or things along the route!
Check the CO and propane detecors for a small light on the front? If that light is on, it will indicate that the path from the batteries is at least partly good and that then leads toward the battery disconnect switch and relay!
A way to begin to cut the chase?
This is because the safety items DO NOT go through the disconnect while most of the inside 12VDC items do! Decision point? If the safety items work, we need to look toward the disconnect but if neither group works, we need to look toward the batteries!
I suspect it is toward the disconnect but good for you to verify that??
Second test is simple also. When the RV engine is started, both start and coach batteries are connected together, so we can verify that it is/is not a battery problem if we start the engine.
When the engine is running does that make the failed items work?
Basic plan without lots of detail!
Converter makes DC to charge coach battery or also run inside items when plugged in.
When not plugged in, coach battery should ALWAYS be good to power safety items, check for the small light on detector. No light, the problem is back toward battery.
Whether plugged or not, if the disconnect switch is working right, all 12VDC inside should work
When we start the RV engine, the engine alternator charges both batteries and runs all 12VDC, both in and outside truck functions. (horn, headlights, etc.) That tells us the the coach battery supply needs a look if all works when using the start battery and alternator!
Do some loooking and also let us know which model of 06 view, so that we can go to the correct drawings?