This is a fun circuit to look at. I'd look at the fact that your lower targets that score "SLICK" or "CHICK" aren't working correctly. Here's the circuit in red that fires the A relay (spots "SLICK"):
SC A relay (resized).JPG
You can see that both the right target switch and the right rollover should both fire the A relay. I'd check that target switch and it's related wiring since you said it works correctly for the rollover switch.
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Similarly, this is the circuit the fires the D relay (spots "CHICK"):
SC D relay (resized).JPG
If you follow the red circuit, this is how the left target should fire the D relay. Again, since the left top rollover switch seems to be working, I'd just look at that lower left target switch and its wiring.
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The center target that spots either "SLICK", "CHICK" or both uses the E level switches on your score motor. There are 3 E switches - I've colored them red, green and blue here:
SC B relay (resized).JPG
One and only one of those 3 switches should be closed at each of the 3 home positions of the score motor. The way the schematic is drawn, the blue Motor 1E switch is closed, which means when the center target switch is closed, the A relay fires and you would spot "SLICK".
The score motor turns and that opens the Motor 1E switch and closes the green Motor 4E switch. That means when the center target is hit, the D relay fires, spotting "CHICK".
Again, the score motor turns, and this time, the Motor 4E switch opens and the red Motor 3E switch closes. That means that when the center target is hit, the B relay fires through the red highlighted circuit, which spots both "SLICK" and "CHICK". If that circuit isn't working correctly, I'd check those E level switches...they're at the top level of your score motor. You can see them easily and see if a different one closes each time the score motor turns.
I'd check the switches on the B relay as well, since those are necessary to get both the A and D relay to fire to score both "SLICK" and "CHICK".
BUT, since you say this only started happening when the flipper spring disappeared in there, it's probably shorting the circuit somewhere, causing your A relay to fire more often than it should. As pinballdaveh says, you need to see if you can find it and get it out of there.
That Wayne Neyens was a clever guy!