I agree with you in principle, but it's probably easier to enforce speed limits than sound and emissions (because both are hard to measure while in air, in contrast to speed).
Sound would be measured at the ground, I presume, as no one is really bothered by loud things up in the sky, but by the ground.
For emission, require airlines/airplanes to have a emission-sensor installed that automatically measure the emission. As a part of take off, make it mandatory to check it's working and as a part of landing, make sure it sent there data to where it has to go.