My first take was to itemize the errors. The vehicles are in impossible orbits—wrong altitudes, wrong inclinations. The backpack maneuvering unit has a nearly infinite amount of fuel and comes supercharged—but only until the plot requires it suddenly to run out. Space stations seem to retain pressure in their various modules despite coming apart at the seams. You can apparently close an outward opening hatch against exiting pressure with one hand.
She mentions that she's 'one of the original Trekkies' and loves sci-fi. With Sandra Bullock and George Clooney, this is a movie you could take your girlfriend to.