In the opening scene where Officer Ross drops his gun and where he retrieves it are obviously 2 different locations.
Earl's license says that it was issued on 04-25-1970, the same day he was born. Licenses aren't issued at birth.
When Joy picks up the lamp and throws it at Earl, the lamp cord stays on the end table. It's obvious it was not connected to the lamp.
Earl's driver license shows 39 years between issued date and expired date. No driver licenses are valid that long.
Young Gwen (Shailene Woodley) has green/brown eyes and older Gwen (Miriam Shor) has blue eyes.