Engine cut out while driving

The fuel filter will not cause sudden stalling like you described, and then let the engine run again later. Also, the water pump has nothing to do with stalling. Given that you found you still have spark, the best suspect is a failing fuel pump. Chrysler fuel pumps typically fail to start up, leaving you sitting in your driveway. They rarely fail once they have started running. GM pumps are just the opposite. They almost always start up, then stop running while you are driving, leaving you sitting on the side of the road.

When you do replace the fuel filter, the first step is to bleed off the pressure. I am not sure why you want the system to hold pressure, but that is absolutely not the goal of the service. For do-it-yourselfers, most service manual procedures describe how to apply ground and twelve volts to an injector to bleed the pressure off. For inexperienced mechanics, it is common to remove the fuel pump relay, when a separate one is used, then run the engine. It will stall in a few seconds. For more experienced mechanics who do not want to waste their customer's time and money, we just disconnect the filter while the system is still under pressure, and let the gas spray us. The volume of fuel that sprays out is not that significant.

Once the filter has been replaced, the fuel pump will run for one second when the ignition switch is turned on. That is usually enough to get the pressure up for starting. If it did not make it up high enough, the pump resumes running during cranking. At most, it might take up to five seconds of cranking for the engine to start.

I suspected the fuel pump because of your description of the symptoms; (will not start, but has spark). Your symptom changed now to "it won't stay running", which implies it does start and run for a few seconds. Your descriptions are very vague and incomplete, so it's hard to make an accurate diagnosis. If the engine runs for about two seconds, then stalls, that is more likely to be related to the anti-theft system, but it proves the fuel supply and ignition systems are working. If the engine runs significantly longer than two seconds, a failing crankshaft position sensor or camshaft position sensor are the typical suspects. Most of the time the Engine Computer will detect the missing sensor signal and set an appropriate diagnostic fault code. Have you read the fault codes yet?

This sounds like a classic fuel pump going out problem, it has pressure but not enough to start the engine. Here are two guides that should be able to help you.

https://www.2carpros.com/articles/how-to-check-fuel-system-pressure-and-regulator

You can rent a gauge for free from the auto parts store.

and

https://www.2carpros.com/articles/how-to-replace-an-electric-fuel-pump

Please let us know what happens so it will help others.

Cheers, Ken