Is that the bonus count stepper?
The new coil appears to be the "step up coil" according to a parts manual http://www.planetarypinball.com/reference/partsmanuals/BLY_Parts_1976/index.html#/116/zoomed
The image is hard to tell if a couple of switches need adjustment the one shown to the right looks like an EOS switch I think it is supposed to be an open contact tighten screws before adjustment
The other switch has the spacer attached to it on the left and should be open as well.
Another thing to look for is a stuck playfield switch that would add bonus. Let the coil cool down between sessions
The coils on an EM can't be wired "backwards" so you should be ok there.
Bally Flip Flop stepper1 (resized).jpg