Nancy sets fire to the trailer, mostly by lighting the curtains on fire. But in the next scene inside the trailer, there is no evidence of the fire and all the curtains have been replaced.
In some camping scenes, there are visible seams in the set's backgrounds of the sky.
The front window of Anthony's trailer is missing when it's first seen outside the police station - and throughout most of the rest of the film. He wouldn't be driving around with that not in place as the wind would be blowing in and trashing the inside. It was removed to facilitate that scene and others.
It never shows them stopping except for gas, it Nancy has multiple charges of clothes.
When Tony and Nancy are in their car driving to elude reporters, Nancy turns to face the rear and motion for the reporters to hurry up and catch them. This makes no sense given the position of the cars and size of the trailer Tony is pulling, i.e., Nancy would not be in view from a following car.
Although a good portion of the film takes place driving between New York City and Reno, Nevada, a lot of the time they are obviously driving through the extensive orange groves of southern California.
As Crocker is standing outside the police station as the couple drives off to Reno, there is a clear shadow of the boom microphone upon him and the shoulder of the man to the left.
When the trio gets out of the water at the small fishing dock, there is a moving shadow of the boom microphone visible on the back of the wooden bench behind them.