You can FULLY disable planet parallax in settings, and you can prevent the zoom by having the init scale the same and final scale. The stars are part of the base game and I can’t change them.
Did you read the mod page before posting by the way? I have a section specifically on parallax and animation that covers these points already:
“Yes, the default parallax would mean the planet is tiny and very close. I'm fully aware this isn't realistic. If you really want a planet that's static relative to the camera then you can still do this in mod settings, though keep in mind that the base game stars also have parallax and it can look weird having the background move but not the planet.”