Other mistake: The episode begins with the Enterprise unable to contact in timely fashion the Federation, because there are 2 days of delay in communications, which puts Pike in a bind since apparently he needs authorization to get in non-Federation space (which kinda undermines the premise of the show). However, later in the episode, the Enterprise contacts the Vulcan facility on Omicron Lyrae without the slightest difficulty or delay.
Under the Cloak of War - S2-E8
Other mistake: The Klingon ambassador burns his hand when grasping a goblet. It is the palm of this hand that is burnt. When he is treated in Sick Bay with a dermal regenerator, it is being used on top of his hand.
