Refrigerator Not Cooling

Probes are situated properly and working. I've determined that I have gas as far as the gas control valve but not beyond that. I replaced the green insulator with multiple strips of electrical tape and I have power on both sides of the control valve. If the solenoid is working should I hear it engaging? 

The little green ceramic or plastic piece is definitely an insulator. I applied about 6 small strips of electrical tape in its place and got 1.5 volts on both sides. It still wouldn't ignite, so I pulled the burner again to re-check the gap on the igniters. The front igniter is 1/8" away from the burner and the back one (the one with the 90 degree angle) is at least 1/4" if not more. Not sure what the gap on the back should be or what its function is. They're both extremely rigid and I'd be surprised if the back one had moved out of position, but I'm a total amateur at this so I'm not assuming anything. 

That's what I'm hoping. I'm going to make some calls this morning and see what I can find. The only gas control valve I can find online is $450. A lot of money for a tiny ceramic part.

You may be right if the green ceramic piece was also an electrical insulator. Unfortunately, I can only speculate. I don't know if the Dometic site has an exploded diagram and parts list for the valve. You could search there.

The adjustment on the igniter gap is critical for the gas valve to open.  Per the owners manual it states the igniter is to be 3/16" from the burner and is to have a gap of 1/8" between the probes.