Almost like its out of gas.

You never changed the spark plug wires yet?If the wires are breaking down that could cause 1 and four not to fire as much especially when hot if the wire was breaking down they would break down more when hot. But causing it not to start I dont think so you could have more the one issue. With the engine not running the fuel pump only runs for a few seconds to prime the fuel line pressure and injectors. When it starts it will run the pump constantly. The valve you found is where you check the fuel pressure. Rent a fuel pressure gauge and see what the fuel pressure is when it doesnt run good just to rule that out. They rent them at auto zone for free with deposite.

That sucks your out where nothing is you can remove your egr valve and see if the pitle shaft is sticking opening. Also lets check your charging voltage at idle when its running bad with the headlights a/c etc on. Also have you had your battery tested made sure your battery cables are clean and tight?I would also make sure you do a exhaust back pressure test when its having trouble running.

The back pressure test you remove the o2 sensor and screw the back pressure gauge in its place and hold the rpms up to about 2000 rpms and see what the gauge reads. The shutting off and wont start for five mins is what we have to work on you said we have spark to all the plugs when this happens. We also have to see what the fuel pressure reads then and also if we have injector pluse also. To check injector pulse you need a fuel injector noid light you plug it in place of the fuel injector crank the engine and watch for it to flash.

Also do you have any carb and choke cleaner?If so when it gets hot and wont start spray some in the throttle body and see if it starts.

When it wont start pour fuel into the throttle body. Does it start?Then check the fuel pressure we need to know what the fuel pressure is when it wont start. Youll need to do what me and saturntech9 say or youll never fix this and are wasteing everyones time.

What is the actual pressure?Real low doesnt tell us much.

YOU NEED TO REPLACE THE FUEL PUMP!

Well theres why it wont start when you have that low of fuel with the gauge hooked up and with the car cranking try smacking the center of the gas tank with the palm of your hand see if the fuel presure goes up. If it doesnt go up then see if you have power and ground at the fuel pump while cranking the engine.

Your welcome glad to hear you got it fixed.