How do I repair the Phays?

Hint 1 of 5:

First, you'll need to learn how this circuitry works.

Hint 2 of 5:

Try helping the woman in the Oratory.  When you do, you'll have that
knowledge (or at least Spock will).

Hint 3 of 5:

Next, you'll need a couple of parts from a somewhat obscure location.  Read
on for an answer if you don't already have what Spock needs.

Hint 4 of 5:

Talk to the king so that he leaves.  Then use the light switch just about
Jakesey's head.  "Get" the panel that drops down to take the lightbar and its
wiring.