I'm glad you are posting here, you have a general wiring situation to consider here.
Your switch is rated for 5 Amps where I believe the MES40 pulls 10-12A.
So you cannot wire your controller where the incoming power cord wires come
through the switch and split AFTER the switch or it will burn up your switch when the MES starts pulling 5A or higher, which the heating element will do.
(DO NOT WIRE LIKE THIS WITH YOUR 5A SWITCH!!!)
(diagram 1)
View attachment 699041
I do not recommend this approach but with a 5A power switch you could technically make things work but you would have to wire up your controller where power comes into it and then forks off before it goes to the switch, but there is are
real issues with this wiring approach so again I do not recommend this, I'm just explaining things:
(diagram 2)
View attachment 699040
Issue 1:
I believe a REX-C100 PID pulls 3A max so your 5A switch in theory could handle being wired to just shut on/off power to the PID. I still would like a 10A switch to have plenty of slop for error or poor switch components. I burned up a ton of cheap plastic Chinese 20A rocker switches when my MES should have been pulling half the amps.
BIGGER Issue 2:
This 2nd wire image has power going unchecked to your SSR. Yes, the SSR is technically a switch and is built to be heavier duty. However, should the SSR ever malfunction and get stuck in the ON position your MES will dumbly pull power until it burns up possibly causing a major fire hazard.
Why would this situation happen?
Well one, the SSR would have to malfunctions in the ON position (getting stuck there) AND two, the wiring in diagram 2 does not use your power switch to prevent/allow power from coming into the SSR. The power switch only allows prevents/allows power to go to the PID controller portion while power is always freely running to the SSR switch
In a perfectly functioning world your PID would control cutting power on/off to the MES using the SSR switch ONLY when the power switch is on. But in this imperfect world and with this wiring, it only takes the SSR malfunctioning and getting stuck in the ON position for things to go bad.
What now?
I would always err on the side of safety and caution with this stuff and just get a good beefy switch that can easily handle 20A of current and wire up like diagram 1 shows because it is the safest option AND the power switch does what a person thinks it does. It allows/prevents power from even entering the box before it gets to the PID or the SSR. If the switch burns up then no power gets in. If the switch somehow gets stuck in the on position you still have have a failure in the SSR so there is a little bit of redundancy there to lean on.
I put both these diagrams up to help explain things more easily and do not recommend going with diagram 2 as an example to follow though it technically works.
Technically we could eat raw meat but it's just safer and tastier to eat it cooked properly and seasoned well :D
I hope this flood of info helps :D