Engine runs rough?

You are going in right direction see pic to check VCT actuators maybe the problem. There is a TSB for later model ford trucks for this, but shown is test and what to check. Then check fuel pressure for misfire if you still have them as well as doing freeze frame to read sensors to see if one low or out of spec. See picture.

We can forego the common stuff since I am sure you have done that already. Let me shift your thinking in a different direction. Look if your engine has an EGR system with eight individual tubes running to the cylinders. Some of these systems operate by allowing a measured amount of exhaust gas flow, then that is supposed to divide up equally among all eight cylinders. Over time one or two tubes become blocked with carbon. Those cylinders run especially fine because they get only fresh air. The other cylinders get too much EGR, and eventually misfire. As this progresses, there may be only one or two cylinders still getting EGR flow, but they are getting that which should have gone to other cylinders. It is the cylinders with clear EGR tubes that misfire, and those with blocked tubes run okay. Since EGR shouldn't take place at idle or low speeds, the misfires do not show up there.

If I am off-base, consider re-posting your question, as this one has gone "off the list", and none of the other experts will see it or have a chance to respond.

Make sure they are set right and firing order is correct it may run rough for a bit until the computer gets used to them, especially with your mileage. This guide can help us

https://www.2carpros.com/articles/engine-misfires-or-runs-rough

It shouldn't take long, as long as they are the correct plugs. If it still doesn't straighten out then something else is wrong with it. If the check engine light is on scan for codes and check for a vacuum leak.

Could be either, have it scanned for codes. Most auto parts stores does it for free. Then check the plug wire and coil pack for resistance. The plug wire may have been damaged on removal.

When you say single coil pack, do you mean 1 per cylender? Also, have you checked the compression in that cylender? Has the mechanic checked to see if there is an injector pulse at that cylender? If you only have one coil for all cylenders, have you checked the spark plug wire? If not, at night with the lights off, start the engine and spray a mist of water on that plug wire to see it there is an arc coming from it.

Let me know what you find.

I have seen many times when the coil packs are damaged when the engines are cleaned. However, you should have a check engine light to indicate which cylinder is affected. Tell me, you added 4 quarts of oil. Did that fill the engine? Are there any noises from the engine?

With so many treatments on the market, if you don't mind me asking: What is "Restore?" Is it gas, oil, or something else?

I'm not sure why the light isn't coming on if there is a misfire. My first guess, however, is a coil pack.

Have you checked it for codes? Even if the light isn't on, it may still leave a code in memory. I would be leaning towards a mass air flow sensor, but it may be something else. I know autozone will scan codes for free, but don't buy anything until you post back. It could be something entirely different.