"Same player shoots again" lit ?
Did the "ball in play" increase, or stay on the same ball ?
Interesting and very strange 
I don't think the same player shoots again lit up but maybe it wasn't working
and I'm fairly sure the ball in play didn't increase, I could hear the sound for the extra ball each time it was awarded
Now that sounds very strange. The only way a ball will be served again without incrementing the "ball in play" is if there was no score. Sounds like a ROM issue. Could be what John described - The CMOS 5101 - that's a possibility.
It sounds to me like a "one off" event. If it is doing it all the time - Check the 5 Volt line on the MPU and check the MPU is grounded.
