Earl pleads guilty during his trial and the judge simply sends him to prison immediately. This is wildly unrealistic. In such a scenario, the judge would have called a recess or adjourned the trial for the day and ordered Earl to confer with his lawyer. If Earl was intent on pleading guilty, the judge would have accepted the plea and set a date for sentencing.
DEA Special Agents are never addressed as "Special Agent", as they are here several times. They are occasionally addressed formally as "Special Agent Jones" or, more typically, as "Agent Jones", or by simply their first or last names - but never just "Special Agent".
At the 2 minute mark of the movie during the flower festival which is taking place in 2005, Earl enters a Doubletree Hotel. Notably, the logo for the Doubletree Hotel on the building was not created until 2010-2011 during their re-brand.
The wall plaques hanging in the DEA offices that purport to show enlarged images of a DEA badge and the DEA agency seal are distorted representations of the actual images. Presumably, the filmmakers were denied authorization to display real-life plaques.
When Laton is first shown shooting skeet, his second shot goes off before the barrel moves to the left.
During Earl's first trip as a mule, in an overhead shot, you can see the traffic headlights in the background where the production crew had stopped highway traffic to shoot the scene.
When driving past White Sands National Monument, Earl is driving on white gypsum road with sand dunes on both sides. This type of road is only found within the National Monument. The road past the monument is a paved US highway and sand dunes are not on both sides of the highway.
6 minutes into the movie, when Earl is closing his day-lily farm in Peoria IL and saying goodbye to his workers, you can see a lone palm tree in the background.
The plants surrounding Earl's nursery are not the kind that would grow in the Midwestern climate of Peoria.
On the 9th run, Earl and his two Mexican handlers eat at Shane's Rib Shack. This chain is based in Atlanta with locations extending no further than Mobile, Alabama. There are none between Peoria, Illinois and Texas (filmed in Atlanta).
When Earl completes his second run, in the new black truck, he parks at the motel and exits without putting the keys in the glove compartment.