Thanks to Ian, Zico, Simon, and Eric (some of the local RX-7 guys) for the help figuring out what is wrong with the car.
We traced it to a short in the 20a main fuse. I started disconnecting relays and it turned out one of the relays was shorting on it’s body. I opened it up and a screw in the relay had worked it way out. I screwed it back in and the car ran. The trouble relay was the check and choke relay. It doesn’t stay running for long but it is a good start.
We had to mess with the idle, a/f, and replace spark plugs and fuel filter. Simon drained the really bad gas. We cleaned the cap and rotor. Put fuel injector cleaner in the tank.
What still needs to be done:
-clean air flow meter
-check timing
-replace cap and rotor
-replace air filter (very hard to find)
-run seafoam through the car
-change all fluids including tranny and rear
-grease everything
-clean interior (carpet is worse than most cars in the salvage yard)