You seemed worried that this was going to burn your house down and more focused on a recall or a lawsuit than actually repairing it yourself. Just wanted you to get your focus away from that direction and aimed at your realistic options. I told you what was most likely wrong with it, there was no indication in your original post that implied you were interested in any way in repairing this yourself.
Here's your parts breakdown...
GE JVM1870SF001 Parts List
The High Voltage Transformer (item #83) is very easy to check, if you have a burning smell you likely won't even need a meter to test it, you'll be able to just look at it and see its melted. Testing it with a meter though is easy enough, set your meter to read "Ohms". There will be likely 4 wires on the transformer, two feed power into it, two are the output side one of the output wires will go to the magnetron, the other to the capacitor. You should read close to zero ohms with the wires off and across the two terminals where the power in wires are connected. Close to zero ohms across the two terminals where the power out wires were connected. No reading at all from either of the power in terminals to the power out terminals and no reading at all from any terminals to the metal around the body of it. It is possible it will read all good on your meter, so if it looks burned or melted anywhere on it its absolutely bad.
Follow the wires and you'll find all the parts making up the microwave circuit. One wire comes off the transformer output side and goes to the magnetron (#61), one comes off and goes to the capacitor (#75), from the other side of the capacitor one wire will go to the other side of the magnetron, a second wire will be going to the High Voltage Diode (#77), from the other side of the High Voltage Diode it connects directly to ground (the metal cabinet).
One of those other items has possibly shorted out causing the transformer to burn out, or the #78 cooling fan has possibly gone bad causing the transformer to get to hot and melt. Its possible the transformer just went bad, but usually its something else wrong in there that causes this to happen. Testing the capacitor and the diode will most likely not be easily done for you with the standard basic meters most people own. Testing the Magnetron is easy, pull the two wires off it and test (ohms) across the two terminals on it, should be pretty close to zero ohms, then test from each terminal on it to the metal body, should get absolutely no reading at all. Sometimes magnetrons test good and are still bad, its a possibility. Sometimes when magnetrons go bad its very obvious, you remove them and look at the end you can't see when its installed. If it look burnt or melted (the little tip sticking out when removed) its bad. If you shake it and hear it rattle its bad.
You need to be aware of the dangers in working inside a microwave yourself though. Even with it completely unplugged from the power that capacitor in there acts like a battery and will store a very painful charge in it. When we work on these the first thing we do is always discharge that capacitor. We do this by carefully removing the wires on it and shorting across the terminals on the top of it with a screw driver, then short them with the screw driver to ground (metal area on the microwave). Sometimes you may see sparks when you do this, particularly if that diode is bad, normally it will be uneventful because the capacitor will have ideally discharged itself after being unplugged from power a short time. I never trust that this has actually happened though, so I'm always sure to short the thing out and discharge it before sticking my hands inside there.
Those are the parts you need to look into though based on what you've described.