Through a Lens Darkly - S1-E20
Continuity mistake: When Tom lifts up the girl's sweater (with both hands), he is still wearing his shirt. In the very next shot, he has magically lost his shirt too, even though his hands aren't free to take it off, and the girl wouldn't have had time to do so in the space of 1 second.
Continuity mistake: When Tom gets a copy of his hospital admission records, his SSN is stated to be 542-68-4360. However, in an earlier episode ("A Rough Whimper of Insanity"), he tells the hacker that his SSN is 549-24-1889.
Factual error: Tom finds a notecard with an "internet access code" that is an IP address: 271.287.291.31. The problem with this is that IP addresses cannot go above 255 as the starting three digits - it's a completely invalid address.