Although at the beginning of the episode Jack appears in borrowed clothing, he has apparently still managed to hang onto his own boots despite apparently previously losing everything.
When Gwen is demonstrating the contact lens camera, following the sweeping sideways glances, the image on the laptop no longer matches Gwen's small eye movements.
When Lois is placing the contact lens in, she takes the first lens out of the container marked with an R for right, but actually places this first lens in her left eye. She then places the other contact lens in but she is shown placing it into her left eye as well.
John Frobisher identifies himself as the Permanent Secretary to the Home Office of the United Kingdom and Northern Ireland. It should be Permanent Secretary to the Home Office of the United Kingdom of Great Britain and Northern Ireland.