There are many imprecisions in your post. If you allow me for a comment.
The main one is that Newton's laws are not wrong. They are only valid in a specific domain of applications. Take special relativity in the limit where the speed is low compared to the speed of light, you get Newton's dynamics. The real important point is to keep in mind the domain in which a given theory is valid.
Moreover, the speed of light in the vacuum is constant, and the mass of an object is one of its intrinsic properties and is thus invariant.
i think that he is misunderstanding the main essence of newton and einstain laws ,
thus when einstein said :"if the speed of the body increases and the speed of light increases, its mass increases , If we reach the speed of light the body mass becomes infinite and hence stops" ...............thats means if the body reaches the speed of light it will transfer as an energie . e=mc2
when newton said : " Newton said the body mass is fixed and does not change in the case of sleep or movement" .......he was talking about the potential energy of a body and which is SAVED as PERNOULI THEOREME .....because the potential energy includes the dynamic+pressure+....
total energie = dynamic energie " 1/2 m v square " + potential " mass * g* height
then don t confuse things
I don't fully understand your answer. E=mc2 is not valid for systems moving at the speed of light.