The bank relay identification strip is missing. It’s hard to give guidance if you don’t know what relay to look at.

Check if the frame step up unit’s subtract coil is firing on game reset. It sounds like the unit isn’t resetting because its going into extra shots right away like it’s staying on 10th frame.

You have to inspect all the switches in the frame unit step up coil circuit. If you can post a snippet of the circuit would help. Yes videos have been used here also.

The maximum rub warning is how the end of stroke switch short blade is to be adjusted.
Manually hold in the frame unit advance coil plunger and adjust the end of stroke switch short blade to just touch the long blade with a minimum of pressure. Once releasing the plunger, the end of stroke switch must open before the gear advances the fingers to position 1.

Try this.
Reset machine. Reset frame unit to zero position from position one. Finger push the end of stroke switch to connect switch. Does the frame reel advance? If it does the frame unit wiper fingers may be shorting the two sets of rivets causing a short. Possibly the wiper with the yellow paint.

There is a make/break switch on the start relay and a make/break switch on the 1-10 relay that make up the 1-9 score relay, 1-10 relay, and chime coil switched return line.

On the ball gate problem. Check the ball return push button make/break switch for a weak normally closed connection. The normally closed part of the circuit connects to the rear rollover switches, and they get their power thru a grey wire connected to a game over relay switch.
The normally open connection on the make/break switch bypasses the rollovers and connects directly to the grey wire. The ball gate coil can also be pulsed during the game reset sequence thru a score motor disc circuit.

On the easy strike setting once the ball rolls over the 1st rollover for the 1 pin, extra bowling pins will trip allowing for a not so perfect strike zone shot. The machine does it so fast that it’s hard to tell the difference vs normal strike.