Noise like a plane noise, when vehicle travels more than 20mph, with and without giving gas. 2006 infinity m35x

The 20mph could be the vehicle going into a 'Safe' setting also known as 'Limp Home Mode'. It is the vehicle restricting the vehicles performance to prevent further damage and so you can get it, (Slowly!), to a garage.
I'll need more information to help you. Misfires can be a pain in the Tailbone to find as they could be anything from a bad spark plug to a faulty fuel part or one of the engine sensors.
The noises you are hearing could be a clue. What sort of 'Loud Sounds' are they? Is the sound a Banging noise? Grinding? Squealing? 'Clonking? When EXACTLY do you get the "Loud Sounds"?
The coil pack could be faulty and not supplying power. to the spark plug. A misfire could also be a fuel supply issue. You might have a faulty fuel injector or a bad fuel pump.
Use the 'Comment' button below and i'll see what other help I can give you.

https://www.infinitiusa.com/recalls-vin/#/

Its possible you just tripped a code. Take a OBDII scanner and scan for codes. Its possible that if you erase the codes, they wont come back and all will be well. Write down the codes in case and if it comes back look in to them. Maybe abs sensor.

It will need to be replaced as a unit! Check at main dealer!

A major blockage in the exhaust system, a major vac leak around the intake, or a loss of fuel pressure come to mind.

in the base of the back doors there will be a corraguated rubber tube check it is intact thats where all the wires are for locks and windows a wire could have broken

There is a reset button on the window motor. You will need to disassemble your door and panels to get to it. If resetting it does not work, that motor need to be replaced.

It says 5 quarts with filter change and it also recommends to use 5w-30. I would double check as you fill as well as after you run the car for a minute. I hope this helps and good luck.

You have the latest generation of Nissan's 3.5litre motor (just before they released the 3.7litre). Its very high reving and high perf'. Your 3000rpm at 70mph is normal, I have an Acura MDX 2004 with a 3.5litre Honda motor that does about the same, and I have an Infiniti M35x 2007 that is about the same.
You'll know if its straining if the gas mileage is bad. Watch the mileage as a good indicator of drivetrain issues.

I too have an 06 M35x and just had to replace the driver side valve cover gasket. It was leaking toward the rear of the valve cover, as well as around the cylinder 6 spark plug hole. Hope this helps someone.