Your issue is definitely a complicated one. When engine electrical issues like yours occurs (After checking everything you already have), that usually makes a mechanic suspect a bad computer.
However, you didn't mention anything about checking your ground. There'll be an engine strap connecting the block of your engine to the frame of the car. And then of course from your batter either to the engine block or the frame. Check to see if any of the terminations are loose or corroded.
Then, check all connections at the engine's wiring harness and at the computer. One or more of these connectors could be loose/corroded.
Combined with these checks and the ones you've performed already, I'd say your computer is shot.
I may be missing something, so maybe another technician on this forum has something to add.
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Monday, January 18th, 2010 AT 8:18 AM