Are you saying that all those splotches are under the screen protector - all over the screen?
It appears to be moisture, maybe from cleaning the screen at the time of installing the screen protector.
Did you add that very recently?
I hope you can remove it without damaging the screen.
(You didn't ask, but it looks like a poor product, or somebody just did not follow the installation procedure. I bet the screen was not completely dry when the "protector" was put in place.)