My professor just posted the answer, in case anybody was interested!
The "mistake" in the picture of Pandora and its parent, giant planet is this: the giant planet is rendered in deep blue colors, like the colors of Uranus and Neptune in our Solar System. The parent planet clearly is a giant planet like Jupiter, with storms and other cloud features correctly shown. Pandora is one of its moons, as correctly described in the movie.
The problem is this: Pandora and its parent planet are very much in the habitable zone around the star. The temperature on Pandora is comfortably warm. This is OK, as I said in class: it is to be expected that some Jupiter-sized planets will have migrated inward into the habitable zones around their stars. Then their satellites will be plausible places to look for life, and Pandora is portrayed as such a world. All OK. But this means that the temperatures on the giant planet will be warm, too, warmer, in fact, than on Jupiter. The blue color of Uranus and Neptune is created, as I said in class, but methane absorption in the atmosphere. But methane would be very abundant only at the low temperatures found far out from the star, way, WAY beyond the habitable zone.
The composition of such a giant planet is not much in doubt, and there is no trick to change the composition to favor blue colors. So the planet should be colored more or less like Jupiter or even redder.
Arguably, it should also have a stormier surface than is shown,
but I won't make that a requirement for the answer.