Welcome to the forum!
First things first, I noticed a couple things that look hinky to me. Circled in red is a missing nut, that will cause a serious problem with your emer start circuit. Circled in green, where does that wire go? It looks unconnected to me.
The solenoids require 12vdc and a good ground to work. Do you have both? I don't know if the switch provides 12vdc or a ground, but that's easily checked. Test both sides of the relay to ground to see if you have power, and if not, then check for a solid ground or run a test wire to ground from the solenoid.
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