Tom B, If you have a power problem and possible short, that is the first thing to fix.
Also I know this was addressed somewhat on another post but I'm hoping to simplify here:
Inverter
TAKES power from DC 12v battery
Changes DC current to AC current so standard plug-ins work
Inverter ONLY needs to be turned on when rig is not plugged in
Inverter alarms are to tell you there isn't enough power in the battery for it to take
Panel inverter information can tell you battery charge level as well as how much inverter is taking from the battery at any given time.
Some items use so little power they won't show on the panel (think of a 50 gallon barrel that leaks one drop every few seconds. You only have a one cup measure so each drop seems insignificant and doesn't show up on your measurements but eventually it will drain the barrel.)
Converter
Pushes power into the batteries
Converts/Changes the AC shore power into DC so it can be stored in the batteries
Converter only runs when rig is plugged in and the battery is less than fully charged
The fan on the Converter runs to cool it. If you hear the fan, something is drawing 12v battery power (this is assuming we are starting from a charged battery)
Standard RV refrigerators will use DC or AC. If RV is plugged in, it uses that AC power and doesn't draw down the batteries. If not plugged in, it switches to propane but still uses a small amount of power from the batteries. The inverter does NOT have to be on to do this.
Inverter enabled outlets - certain outlets can be run direct from shore power OR from the batteries. The inverter must be on to get power from the battery to these outlets when you are not plugged in.
The inverter needs power to run even if it isn't powering anything else. If you are not plugged in and the inverter is left on, it is feeding off the batteries. When we dry camp we only turn the inverter on if we need power at those inverter enabled outlets or to run the entertainment system.
Hope this clarifies instead of confuses.
We carry the "RV Owner's Handbook" by Gary Bunzer, "The RV Doctor" and refer to it when we are trying to troubleshoot systems or understand basics. Most of his info should be on his website also but we don't always have signal so the book rides along.