After Keith picks up Cormac Fitzpatrick from jail, the car breaks down on the way to Kendall's house in the desert, so they wait for a tow truck. Then somehow, later they drive the car into the yard at the house. And then, after Cormac shoots Kendall and Keith escapes, he has to leave the car behind and walk through the desert.
When Nish offers Veronica the Theta Beta assignment, she shows Veronica the sorority's rush poster, which features a picture of the sisters in front of the sorority house. This picture was taken during the rush party that Veronica attends later in the episode, made obvious by the fact that the white and orange floral dress that Veronica wears to the house is visible. (It's not Veronica in the photo, just another blonde girl with a similar dress).
When Logan is "streaking" through the classroom, his flesh colored shorts can obviously be seen.
When Haley is writing Veronica's name on her name tag you can see that the Sharpie isn't click so she can not be actually writing her name.