Other mistake: Before the wolf changes back into Evil Ed you can see the black cables pulling the fake wolf across the carpet.
Other mistake: When Jerry is in the nightclub starring at Amy you can see his reflection in one of the mirror columns of the dance floor. He is a vampire and shouldn't have a reflection. (01:02:51)
Other mistake: When Amy and Evil are at Peter Vincent's house to convince him to help Charlie, you see them looking into a horizontal mirror that's on the wall on the left side of the screen. If you actually look at the reflection, Evil is on Amy's right. However, he's on her left in reality.
Chosen answer: First of all, REM didn't record "Personal Jesus," Depeche Mode did. The song I think you're referring to is Ian Hunter's "Good Man in a Bad Time." The other song Amy and Jerry danced to was Evelyn Champagne King's "Give it Up" which could never be confused with "Personal Jesus." I hope this helps!