After watching a couple youtube vids, I can see that it's no easy feat turning one of these refers off (which is just weird). You'll have to try flipping breakers, like, the kit2 (likely kitchen) is a good start. I don't recall if you have the refer owner manual, but I'd sure be looking there. Perhaps you can find a manual online. The best I can see online is that you can take it in and out of demo mode, which means it's on, but doesn't cool. It's all very strange to me.
And no, your inverter is not a charger, and I can't say what all it powers without you actually trying everything.
Thanks for providing that info.