Corrected entry: At the beginning of the movie, the Excelsior is hit by a shockwave coming from the Klingon moon Praxis (the Excelsior would be in Federation space, dozens of light years from the moon). The force of the shockwave is such that the ship is physically thrown about, as are the crew. A blast that is so strong at such an extreme range would surely destroy not only the moon but also the Klingon homeworld and most other things in Klingon territory. This, however, isn't the case; Praxis is later shown to be only half destroyed.
Corrected entry: Captain Kirk and Dr. Mccoy escape from the Dilithium mines together with the shape shifter. They go to the surface and get out of the magnetic shield that prevents Enterprise from beaming them up. When they fight and get discovered later, it seems it is all a setup and they are beamed up by Enterprise just before they are shot. But why did the shapeshifter lead them to a place outside the magnetic field? If only they were inside it (no markings around to show they are outside the field), they could never have been saved.