What would be the steps for before, during, and after? What results should I be expecting? And if the results are in favor of a healthy starter relay, what would be the fix for it? Rewiring perhaps?
Jumping the terminals of the starter motor relay as recommended will help narrow down where the electrical failure is in the system. If the starter motor turns over when the terminals are jumped, that eliminates the starter motor as a failed component, and lets us know that the ground and battery leads of the relay are good.
If all that is good, then the problem must be at the junction box (which is clicking, meaning the voltage from the start button is making it to the starter circuit solenoid inside the junction box) and the starter relay (or the relay's ground).
SO, short across the starter relay terminals first. If those are good, check whether you get voltage out of the junction box on pin 13 (yellow/red wire on the smaller 10 pin connector). The connector must be attached to the JB, but you can stick a voltmeter probe in alongside the wire to touch the contact.
If you're getting voltage there, then your starter circuit solenoid (in the junction box) is ok. That leaves either a bad starter relay or a bad connection into or out of the starter relay's primary (smaller/triggering) terminals.
Once you track down where the problem is, we can discuss whether rewiring will help, or whether a piece needs to be replaced.
Generally speaking, the junction box solenoid can be bypassed, but the starter relay cannot.
(of course, the starter may be fine and the ignition system may be to blame, but we'll cross that bridge if we need to)