Continuity mistake: In the previous episode when Damon and Caroline sleep together Caroline's bra is dark pink, in this one when she wakes up her bra is blue.
The Night of the Comet - S1-E2
Continuity mistake: In the scene where Vicki wakes up from her nightmare her bandage on her neck is on the right, but then in the scene where she's at the Grill it's on the left side.
Continuity mistake: The sign by Mystic Falls cemetery says it was established in 1792, but later episodes state the town was built in the 1860s.
Character mistake: Steffan addresses his brother, Daemon, as "Steffan" at The Grill after Ellina talks to Steffan about the crystal that plagues Bonnie with nightmares about Emily. (00:15:06)
Suggested correction: You missed the point of the scene. They were imitating each other. Stefan was pretending to speak as Damon. Damon replies with "I don't, Damon" and then "you're really hard to imitate".
Other mistake: When Elena is taken, Bonnie asks Jeremy for help. She says she needs his blood to cast a location spell to find Elena. But it doesn't make sense. Earlier it was revealed that Elena is adopted, so she and Jeremy don't share the same bloodline and cast could not work well.
Suggested correction: Elena was adopted by her uncle. Grayson Gilbert (her adoptive father) is John Gilbert's (her biological father) brother. Jeremy (Grayson's son) is actually her cousin, and related by blood.