Please Hold to My Hand - S1-E4
Continuity mistake: When Joel tries to drive through the rebel trap, the bad guy throws a big rock/brick on the pickup that creates a reasonably sized crack on its windshield - as we can see it from inside the car. However, during all the next outside shots, the windshield is intact - actually, it looks brand-new.
Continuity mistake: As Jizzlord says, "so really, this is a good thing", he's holding the posters upright, facing Jen. Cut to a shot from the side and he's holding them horizontally, facing upwards.
I Become Supreme Lord of the Bathroom - S1-E2
Continuity mistake: When Percy comes round at the beginning of Episode 2, he is wearing a different shirt than the one he was last seen wearing at the end of Episode 1, in which he lost consciousness. (00:00:01 - 00:01:00)