The cam that rotates to start the game has a multi contact switch on it when it reaches the correct position. First make sure it has fully rotated to the right position (you can turn it manually but only in the correct direction of normal travel - never turn it backwards) and then make sure the leaves of the contacts are all correctly bent to where they should be and clean the contacts.
This should draw in the main solenoid for the power to the other items.
I haven't seen a schematic for this particular game, but this is something I've had on three previous EM's with similar faults. If nothing else, it's a good starting place.
Best of luck.