The problem with the floor insulation is not which way the Vapor Barrier is oriented… it is the Fact that Exposed Paper which has a petroleum based adhesive>> Burns like Gasoline and should not be left exposed. To correct it they can do one of two things: Turn the paper facing up and install insulation supports so that it is physically in contact with the floor deck, Or remove the paper facing. There is a printed notice on every one of those fiberglass batts warning of the flammability of the facing. Anytime you see that paper exposed, call it out!
And here is a little tip when you see plastic on an exterior wall like this (or sometimes with Fiberglass in other areas) You may see streaks, splotches or other areas that may look a lot like Mold, but don’t jump to conclusions, usually what they are related to is dirt/dust left by air migrating through the plastic and the fiberglass acting as a filter. sometimes if you look really close the streaks will correspond to the where the plastic is stapled (holes). Fiberglass is a great air filter.