The Zaccaria games were manufactured in Italy, but use components that are very similar to Williams games. So fortunately for us, they aren't really all that different to troubleshoot.
Your description sounds like the drop target reset coils are engaging and staying on, is that correct? If that is what is happening, the first thing I would do is check to see if the score motor is stopping in the middle of a cycle.
There is an index cam on the score motor, it's the cam closest to the motor. You can tell when the motor is at the home position, because the home position is the spot where the cam follower for the index cam has dropped into the detent on the cam.
On the switch stack for the index cam, there is a runout switch that should cause the score motor to always return to the home position. On your game, it's the switch at the top of stack (farthest away from the cam). That switch should be closed and should make the motor run whenever the index cam is not in the home position.
If the motor is stopping anywhere but the home position, the first thing to do is to clean and adjust the runout switch on the index cam.
- TimMe