Continuity mistake: When Grady and Earl wreck their truck, Earl picks up the radio mic to call anyone at their base site. He is talking into the back of the mic in two shots, then correctly in the next shot. (00:47:05)
Suggested correction: This would be a character mistake, not a continuity mistake. The radio would still work; it just wouldn't be as audible on the receiving end. You could argue that during the time Kate was talking, he realised how he was holding it and swapped it round.