There are many paths into the L/1000 point relay without an obvious single point of failure. Let's simplify and just look at this part:
Sure Shot L relay (resized).jpg
Does the L relay fire when the Z/Bonus Score relay fires? Does the L relay fire if you jumper around the Z relay switch with an alligator clip test lead?
If the L relay really never fires you could have a broken wire or solder lug on or leading to the relay coil.
/Mark