On this era of game, Gottlieb controlled the scoring between the players with dedicated "1st & 2nd Player Score Control" relays (which I think are the ones you've pictured). They should energize independently, controlled by the position of the Ball Count unit. The wiper disc on the Ball Count unit steps through the ten possible positions (5-balls per player, times 2 players), and every other ball activates the path the scoring control relay. So when on rivet 0, that's Player 1 scoring; when on rivet 1, that's Player 2 scoring.
The score reels themselves each have two separate circuit paths; one for resetting, and one for scoring. So if only the scoring is giving a problem, then that's the only path to worry about.
The 9th position rollover function first activates the higher point value score relay (e.g. rolling over from 1s to 10 activates the M relay), and then a switch closing on M, along with the closed 9th position switch on the score reel advances the next reel. But this path is also diverted through the associated player score control logic, which means that whether it's a direct 10 point score, or a 1s rollover, both will be diverted.
This means that if all 10pt scoring is going to the 2nd player, regardless of hitting 10pt value items or rolling over the Player one 1s reel, that the problem most likely lies with one of the two 1st&2nd Player Score Control relays.
These relays are often labeled as 'O' and 'P', but check your schematic to confirm. 'O' is usually the one for 10 points.
There's a make/break switch on there that diverts the scoring between the players, and if the score is going the wrong way, then that switch is in the wrong state (or has a short in the path behind it, like tabs touching).