Check for a broken ground wire on the left side of cylinder head adjacent to #3 cyl. If no broken wire there check for a broken wire in the pigtail leading to the distributor. The distributor has 2 wires inside a braided shielding jacket. 1 wire is distributor hot feed, the other wire is tachometer signal to ECU (controller).
The fact that the slow lock solenoid is de-energizing after the engine dies only shows that it is working according to design.
The slow lock is the idle fuel cut off valve that stops fuel from escaping if the ignition switch is on while the engine is not running. So, that part of your observance is not part of the running problem.
I have found conditions similar to yours on 7F models that were caused by either of the 2 items I mentioned.
If it turns out to be a broken distributor wire (either one) be careful that you don't get any of the shielding braid into contact with your splice repair or you will end up with a no run condition worse than now.