Hesitation when accelerating

Vehicle randomly decelerates when accelerating, rough idle, bad fuel mileage, almost the way it feels when running out of gas. I have replaced MAF and CAM sensor, throttle body, and a new PCM, fuel filter. Ford had a recall on this year's 5.4L engine that was not done on my vehicle, so when changed the PCM. After replacing PCM, it still continues to stall/hesitate when accelerating. We have checked fuel pressure and it was right. 90% of the time only does it after going high speed, when I have to stop (coming off interstate) it stalls or hesitates. But before the PCM was replaced it was anytime the vehicle stopped or idled for a few minutes. Never threw any codes until last week, then replaced the PCM. Everything is clear and scanner showing that everything is working properly. It is not.