So the Enterprise is racing at warp speed across space in the direction of Earth when the Vengeance catches up and yanks it out of warp. IIRC, Sulu states that they are still something like 136,000 km from Earth, which is roughly 1/2 the distance that the Moon is from the Earth. So then this long action sequence occurs which climaxes when the Enterprise ends up suddenly caught in Earth's gravitational field and starts falling.
Hole #1 seems to be that 136,000 km is still so far from Earth that it would take a long, long time for Enterprise & Vengeance to drift close enough to Earth to begin falling in, even if they came out of warp with a substantial inertial motion.
Hole #2 seems to me to be that traveling at warp speed, even warp one (approximately light speed), the Enterprise should have been preparing to stop well before the point they were yanked out of warp. The speed of light is approximately 300,000 km/s so they were really only 1/2 second from earth at warp one.
So, is there anything I missed in these details that would explain these holes?