The pick up coil is also known as the camshaft position sensor on your vehicle and is usually not known to cause a vehicle to die. It can cause it not to start though. Common causes of dying issues can be related to the crankshaft sensor (No spark and no injector pulse) Injector pulse can be checked by listening to the injectors while someone else cranks the engine. You can use a long screwdriver held to the injector with your ear on the handle to listen for the sharp clicking sound of the injector. If you are losing fuel pressure, listen for the pump to be running at the fuel tank, you should be able to hear the high pitched whine of the pump with the engine cranking or by turning the key off then on. NOTE- if the vehicle is known to restart quickly, you can try leaving the key in the on position when it dies. Cranking the engine from this position has the same effect as turning it off then on for most purposes, but can keep a failure active, whereas if you turn the key off things can be reset and it start thus masking the issue.
If your fuel pump is not running then you could have a fuel pump relay or circuit issue. If the pump is running but you have no fuel pressure then you could have an issue inside the tank. (I don't think it likely though.)
One item worth mentioning is the ASD circuit, Auto Shutdown= this relay is controlled by the powertrain control module as many others are but supplies most of the ignition power for the engine control components. It also supplies power to the fuel pump relay.
As you can see, this can be a very difficult issue to diagnose. There are many wiring issues and computer control issues including a bad pcm that I cannot address in this type of interaction. It would be money well spent (in my opinion) to have is professionally diagnosed because you can spend a great deal of money just replacing components and not fix the problem.
If your fuel pump is not running then you could have a fuel pump relay or circuit issue. If the pump is running but you have no fuel pressure then you could have an issue inside the tank. (I don't think it likely though.)
One item worth mentioning is the ASD circuit, Auto Shutdown= this relay is controlled by the powertrain control module as many others are but supplies most of the ignition power for the engine control components. It also supplies power to the fuel pump relay.
As you can see, this can be a very difficult issue to diagnose. There are many wiring issues and computer control issues including a bad pcm that I cannot address in this type of interaction. It would be money well spent (in my opinion) to have is professionally diagnosed because you can spend a great deal of money just replacing components and not fix the problem.