Quoted from Nintendork:one of the coils looks a little black. Could this be a sign to change coils?
Consult your schematic. What coil is supposed to be there? Check at https://www.flippers.com/coil-resistance.html and see if the resistance you measure is close to the resistance it's supposed to be.
Quoted from Nintendork:The other question is what setting to put this multi meter on to check polarity and what the rate should be around on the meter?
Schematic again but 200 AC is most likely the right range (the red numbers at the upper right). http://www.pinrepair.com/em/index3.htm#low