Follow terry's good advice....Also a quick test to see if the coil is good, is with game powered on, take a length of wire and touch one end to ground braid in the bottom of the cabinet and the other end to the NON-BANDED side of the diode on the coil. If the coil fires then the coil is good. If it doesn't then the coil is not good...Sometimes the small copper wire from the coil to the lug where you soldered your wire gets broken. I'm ALSO ASSUMING that when you replaced the coil you oriented it correctly with the non-banded side of the diode connected to the ground wire from the board and the banded side of the diode connected to the power feed (likely from some other coil nearby).

You can find the transistor for that coil on the driver board and ground the metal tab. See if the coil fires. If not, it's the transistor or the wiring between it and the coil.