Did the seller say what worked and what didn't? That all looks pretty well massacred. That white block you took a picture of is a giant resistor...I think, and it goes on the monitor. But looking at some of your other pictures I see one is already attached, so maybe it's ok.
Oh, in the picture where you plugged in the degauss wire, there is a big green cylindrical capacitor. To the right of it are 4 pins, that's where the yoke connector goes. And you're in luck, they're labelled with the colors.
I'll look at my monitor to see what kind of fuse it uses. I'm also having trouble seeing what you're trying to hook up to the mainboard. There should be two ports for the EL panels, two ports for the LED credit boards, and two ports for the memory card reader.
Here is the link to the manual for your board maybe it'll help you figure out what you have and don't have:
http://www.hardmvs.com/manuals/MV2F-MV4FServiceManual.pdf . But I have to say, your monitor cable looks pretty ragged.

The yellow/white cable should be composite sync..probably. You might want to just find the wires coming off the mvs harness, lengthen them, and just connect it directly to the small rectangular connector that connects to the monitor chassis.
I've got a 6 slot NeoGeo so I can give you specific details on NeoGeo related stuff if you need it. Good luck!