That does look like a suspect!
But the wholeboard is a pretty ugly thing! Kind of reminds me of the days when I did repair on pagers for a crew that worked manholes. They dropped them in manholes full of water and brought them to be repaired.
One guy brought it in and wanted to know what I thought about getting it fixed, so I asked how long it had been in the water and he told me, " Not very long. I got it out as soon as I could!"
Sensing there might be more to the story, I asked how long? Three days!
Sometimes we just have to agree to start over! When I look at what it might take to get a wire soldered on to run around that point, if that is the open, it looks tough to get done!
With the right soldering iron and luck, one might be able to put a wire across the open if you can find the correct pins on the backside of the switch and the plug?
That's getting pretty close to being too hard headed for our own good!!
Sort of thing for old retired guys with little to lose and way too much time?
I might want to check if I could get a new board before working on this one as you could get a little too much heat and totally lose being able to start the generator at all!!