Youre getting there Peach.
Have you cleaned all the rest relay switch blades, I think the pop bumper relay is the same (A-9735),maybe you swap them.
Any other opinions on this advice.
Millsy

not a bad idea at all, Millsy.

The schematic would be really handy here as we need to know what holds the coil in.

going off my Spirit of 76 schematics -

You have an AX coil and an AX Reset coil - two coils in this unit.

AX - has a Blue Orange wire that is from the "1st Ball Relay" - that has a second wire on a contact which could be Black & Red (from the "start" relay), which must be closed with a Brown and Red wire from the score motor points "1D". In English - all these contacts must be closed to complete the circuit  and pull in the AX coil.

AX Reset - has a Yellow & black wire that is from the "ball return relay" and it is normally closed with a set of points on the "1st Ball Relay" which completes the circuit on the score motor "2C".

At a guess - you are holding the AX coil "in" - right ?

Clean the contacts on all the relays described above - as a start !