Check battery.. they can last a long time... but 11 years... welllllll. Gotta check it out.. Definitely check 12VDC and that the converter is actually working!! AS said above... if there is not enough amperage and voltage stuff won't work...
Now... what gives me pause is that this happened when only the toaster was plugged in... that should NOT have an effect not the 12VDC circuit(s).
The battery and converter work together. If the battery is dead / shorted internally, the converter probably won't be able to provide adequate power to operate 12VDC systems... nor can the battery provide enough power.
We have a small "cigarette plug voltage monitor" which remains plugged in whenever we are in the AS... Also, as long as the AS is plugged into the AC power and converter is running(on AC), we have good voltage (about 13.4VDC). When I run all the 12VDC items (lights, water pump, Water Heater and Fridge on LP, radio, TV antenna booster(that engages all the 12VDC circuits)), everything runs great when NOT on AC power... voltage remains above 12.5VDC. When I leave it run on the DC a while... say 20 minutes (of course the water pump won't run all the time.. so I do activate the water pump as well.. Voltage remains stable.
When I have the AC connected, the converter running, the voltage will be a little higher...
My stock converter from 1999 died in 2014.. big smoky mess. I replaced with a PowerMax and the system has been flawless.
Now, on a side issue, there may be a problem with your AC circuits.. just plugging in an electric device should NOT cause the problem you mention... I don't know about your 2015 AC wiring... but, it should be in your manual. Check to see if the Converter and the outlet you plugged the toaster into are on the same AC circuit.. if they are, then you may have both... failures of the battery and converter...
Now, don't forget... you must have a good 'connection' between battery terminals and their connection points.. the NEGATIVE to 'frame ground'... then the positive to the 12VDC distribution / breaker / fuse panel. Also, the Converter will connect to those systems also so that it can charge and support use of 12VDC when you are connected to AC.
Anyway, if not comfy with the testing, get professional help... you may be enjoying Glory rather than your AS... Just sayin'