Car will not start after I drive it for awhile...see details below. Thanks

If you had an engine misfire, I would start with new spark plugs and new ignition coil(s). I'm not sure relay was replaced, but usually a relay works or does not. Meaning, if a relay that makes the car start or not, did not work. Car would never start.

look into possibly crankshaft or camshaft position sensor malfunction

My Acura 2000 TL 3.2 V6 has been acting the exact same way and usually by the time i get it to my Mechanic to take a look at it, it all the sudden decides to work again and then my Mechanic tells me that its runinng fine and he cant find whats wrong with it. This type of "behavior" has also happened previous times on other system problems on this car such as the Air conditioning system. Either this car has an evil sense of humor or when they designed this car they designed the systems to (fail safe) when they're going out causing the vehicle to run even while the parts are failing. This is just a theroy i thought of because i recently bought a (fail safe) type thermostat which will lock in the open postion if the engine and radiator temperature increase too high.