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Continuity mistake: In the beginning of the film where Charlie watches Dandridge and Cole move the coffin into their house, there is a close-up shot of Amy removing her blouse. The film then cuts to a close-up again of Charlie and in the background Amy's blouse is still on (probably only visible in the widescreen version of the film). (00:05:20)
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!