Hi DeltaQueen
I wonder what Your #7 Relay is - I do not see it in the List of coils and relays - do You have a paper tag in the pin telling You #7 ?
I assume Your description is not complete. OK, the Outhole-Kicker fires rhythmically - this is because the Outhole-Relay is pulling steady (does it ?) and faulty does "not let go" (((and the Score-Motor runs and actuates all its switches, rhythmically))). I suspect the Make-and-Brake-Switch on Score-Motor - SCM-8-C. The middle blade has soldered-on wire-yellow, the outer blades have soldered-on wire-white-black, wire-grey-red. When the Switchstack on wheel-8 actuates: connection is cut - connection (in a fully functioning A-Castle) yellow to white-black. You see this in the schematics at F/G/H/J-15.
Here http://www.pinwiki.com/wiki/index.php?title=EM_Repair#Bally_Score_Motor good text / good pictures. Wheel-1 is closest to the "real motor".
Maybe You find the fault - maybe we must look further - with a more detailled description (((is the Bonus-Score-Relay pulling ? is the Bonus-Unit stepped down to Zero and actuates the Position-Zero-Switches ? Other relays pulling ?))) Greetings Rolf
P.S.: Did the pin ever run satisfactory in Your possession ?