The block should be attached to the eye on the fore and aft wires. You are right that the becket is missing. This is limiting you to a 1:1 on the jib sheeting. You are also correct about the barberhauler but that will have to change once you go to a 2:1 for the jib sheet. Even a stainless ring that both lines ran through would work.

It also seems like the clamcleat that would be used to tension the jib halyard has been replaced with a "dock" cleat. That would make it difficult to adjust the tension on the jib.