Quoted from borna:Can I say as long as I get a reading on the red arrow solenoid with Ohm meter, the solenoid is good?
in this case, yes, you can stick the ohmeter on the two coil lugs and if you get something around 15 ohms the coil is ok.
the reason you can do this without disconnecting a coil wire first is all the circuits on the yellow/red wire side of the coil are open ... or should be ... so there's no chance you are measuring a roundabout circuit path thru other devices.
having said that, the easiest thing is either attach one end of a jumper to yellow wire 30 that goes all over the place and touch the other end to the yellow/red wire on the coil. Coil should fire.
if you prefer not using a jumper, manually close the bonus score relay. The score motor should turn on and the switches daveh mentioned will pulse the reset coil for you.
if that works, your problem would be the bonus score relay isn't powering when it should.