Hi Janusz, and WELCOME to SDD. Just so you get a group opinion.. I would also agree that your Cam Position Sensor (CPS) would be the first thing to replace. The symptoms you describe are what happens when a CPS goes bad.
Also, Your Fuel filter. As a rule, you should never try to clean a fuel filter and re-use it. Just replace it, with a New, clean one. Clean your fuel filter
houseing also before you install the new filter.
Hope this all helps you get your "Too Big Truck" going again.
JOE