If that is the Selection Unit then there is only one switch responsible for energizing that coil. It is Switch B on Cam #6 of the Control Unit. Count the stacks of switches starting at the motor and working away from it. When you get to the sixth switch stack look at the second switch from the bottom. That one pulses the Selection Unit step-up coil. This switch is part of the Start Cams Index. Make sure that these cams are turning as they should and that the clutch is not severly slipping leaving the cams sitting in place. Check the switch first. If it is open when the cams are at their "Home" position then you likely have a clutch issue. You could attempt to increase the pressre on the clutch by tightening the spring but if the leather clutch is dried out then it will have to be replaced. But first you could try to insert ONE DROP of neatsfoot oil (The kind used to season leather baseball gloves) on the pressure plate side of the clutch, rotate the cams by hand and let the clutch itself absorb the oil over a day or so and then try the game. Take a screwdriver and seperate the leather clutch from the pressure plate to get the oil in there. Excercise due caution to not damage the clutch. You could repeat this two or three times but if you over oil the clutch it will just slip and will not work and be just as bad as a dried out clutch. It's also possible that the clutch could be worn out but lets hope for dry. Let us know how it goes.
Added over 6 years ago:
On the other hand, if the clutch has previously been oiled and seems to be slipping due to excessive oil, you can slip some plain white paper strips between the leather clutch and the pressure plate and leave it there for a bit. The paper will serve to absorb some of the oil and provide some friction to turn the cams.