Plot hole: When Kirk and Jay-lah appear on the bike they are already travelling at speed. This is impossible, as they would have had to enter the transporter room at speed, not possible with the Franklin's transporter.
Other mistake: When the saucer of the Enterprise finally crashes, all sorts of dust comes into the bridge through the big window at the front. Two mistakes here: 1. The very next shot shows that the dust cloud never actually reaches up to the bridge (which is in the middle of the saucer) and 2. Later in the movie, Kirk and Chekov escape the bridge, but to do so, they need to shoot the window out. So the dust couldn't have got in even if it had reached the bridge. Which it didn't.
Question: When Chekov and Kirk step into their escape pods while on the Enterprise there are wearing their yellow uniforms, but when arriving on the planet they step out of the escape pods and are now wearing a completely different outfit. All of the other crew that used escape pods have not changed outfits. Where did they get the new clothes from?krissrush