Plot hole: Why doesn't Reliant know that Khan is exiled here? The Federation is so terrified and opposed to genetic engineering that it's still illegal 300 years after Khan. So why is there no warning along with the data on the Ceti Alpha system? Kirk logged what happened with Khan and his solution of marooning him. Starships use nav data to navigate star systems. Ceti Alpha 6 exploded, yet the helmsman or computer never noticed that there is one less planet than there was when Kirk was there? There is no debris from the explosion? Ceti Alpha 5 is the exact same size and was conveniently blown into the exact same orbit as Ceti Alpha 6 used to have? So there is nothing whatsoever to make the crew even suspect that it's not 6? Enterprise would have to have scanned the planets in the system to know that one was habitable for Khan. Did Ceti Alpha 6's destruction somehow magically turn Ceti Alpha 5 into its exact duplicate? If Starfleet ships have been there to map after Ceti Alpha 6 exploded, none of them bothered to check on the exiles? Pretty callous for Starfleet, don't you think? With the technology and amounts of information available to Starfleet vessels, there is NO logical reason for the Reliant to think that this planet is Ceti Alpha 6. Finally, would the Federation be willing to test a device whose exact effects will be unknown on a planet so close to another inhabited one? (00:21:00)
Suggested correction: The answer is yes: against all known laws of science, the inexplicable explosion of Ceti Alpha VI led to Ceti Alpha V conveniently taking its orbit and making it easy to mistake for its former sister planet. A mistake would've been to give an explanation that can be debunked. By leaving it to "somehow" the movie leaves it open to a million possible rationalizations. You can even make a whole other story about the crazy circumstances that led to this incredible result.
Plot hole: In the locker room scene after Rocky's loss to Clubber, we see Mickey take his last breath and Rocky lays his head on him and starts crying. Doctors were present, wouldn't some effort of CPR or resuscitation have at least been performed?
Plot hole: When Rambo hijacks the Army truck, he throws out the driver, Robert A. and continues driving down the one-lane dirt road in the same direction. When Robert A. hits the ground, he immediately pops up and runs the opposite direction, away from where the truck is driving. A couple of shots later, we see a behind view of Robert A. running. It turns out that it is the driver's view from a Sheriff's vehicle. How could a car, especially a Sheriff's squad car, possibly come from that direction since it was a one-way road? And how could that same officer not see that the man driving the truck was Rambo?
Suggested correction: It isn't shown that no other roads join that one. It's therefore reasonable to assume the police car joined that road from a branch / connecting road and didn't encounter the truck.
Plot hole: When Ching and Jen Moo are confronted by the God Skills Society at the Sun Family Temple, there are three disciples appearing behind the master. But only two of then (the long-haired man, and then the monk) are seen entering the fight; the third one suddenly appears as a yellow-clad corpse at the entrance stairs as Ching fights the long-haired man.
Plot hole: Frank Ochoa told miss Nicole that Paul killed 9 people in New York when in fact he killed 10. (00:47:00)