Most of the situations you mentioned were minor irrelevancies...I didn't even notice the business with her hair until the second viewing, after Neil Degrasse Tyson had primed me to look for it.
On the other hand, this:
Warning: Spoiler! (Click to show)
is a critical plot point, made no sense, and pulled me right out of my suspension of disbelief to give it a giant WTF. It's a really, really basic bit o' science that they utterly botched. Reminds me of another movie (Contact? can't recall right now) where at the beginning of they film we are alerted to the ominous emergence of a meadow at the North Pole. Which would in fact be incredibly ominous, since the geographic north pole sits in the middle of thousands of square miles of open ocean. Of course they meant the South Pole, but screwing up something as simple as "is there land at the north pole" made me think that the movie was made by a bunch of imbeciles who flunked 3rd grade geography.