Dutch - do you have Forscan? Joegr recommended this to me about a year ago. I finally hooked it to the car this week. (Yes, I do have a lot of inertia and grass growing under me). Anyway this software (you need to download, install it for free and buy a device to connect your OBD2 port to your laptop. I bought an ELMconfig for $30 or 40) is quite good. It reads just about everything in the car and reports it all back. Will show DTCs that do not turn on CEL. It can also scope live data and will tell you fuel pressure etc. Quite remarkable for an almost free system.
I'm actually using it for a similar issue to what you've got. I finally reinstalled my rebuilt engine and hooked everything up. I expected to start it and drive it away but not so fast. It starts but after a few seconds it sputters and stalls like it's not getting gas. I'm learning a little about how the fuel system works and know enough that the fuel pump must be working since it starts (friend calls it 'choke mode') when switch to 'On' causes a couple spurts from pump to pressurize the fuel lines. But then it stalls and I think the pump at this point is not working and might be because it might not be getting input from the crankshaft position sensor, I dont know yet.
Point is the forscan quickly identified problem to the fuel pump area by producing a code P1641 which says 'Primary fuel pump circuit malfunction'. Now I need to determine exactly what that malfunction is. I've checked the fuse and the relay, both good. The fuel pump is brand new. The PCM should be telling it to run after start so I need to figure out how to check for proper inputs to it.
Wish me luck. Oh and I wish you luck. this system does not recommend using while you're driving of course. BUT I think it would be OK for it to be hooked up and configured to monitor some parameters while you're driving - place the computer on passenger seat or floor, maybe tape the OBD2 connector wire up ,away from your feet - and if/when it dies again you may have an indication as to why it did?