Sulu warns that unless the Enterprise reduces speed, it will be incinerated as it descends through the atmosphere. However, for a craft the size of the Enterprise most of the structure would survive atmospheric entry — particularly given that at about 25,000 mph it would traverse the lower atmosphere in approximately ten seconds. Consequently, any destruction would be caused not by atmospheric heating but by the subsequent impact on land or sea.
After the attack on the senior officers' meeting, Scotty, while explaining how Khan escaped, refers to Kirk as 'Captain'; however, Kirk had been demoted to First Officer and should have been addressed as Commander. Additionally, when entering the senior officers' meeting, Kirk is shown with four shoulder insignia indicating the rank of Captain, when he ought to have been displaying only three, as Spock is.
When Spock is due to beam down after Khan, Checkov transmits the co-ordinates to the Transporter Room. The Transporter Officer then replies "Co-ordinates confirmed", although he ought to have said "Co-ordinates received" since he has no means of confirming the figures.





