The burgundy van Curt Seaver steals after ditching the prison van changes from a Dodge Ram Van to a Chevy Van and back several times.
The moment a suspect was found to be on foot in the woods, in addition to tracking dogs, a helicopter using Forward Looking InfraRed would be used to locate him. With only a slight head start, he would have been apprehended within an hour. The helicopter shown only had a spotlight, which has been obsolete for locating people for many years.
Shooting out a rear tire at a relatively low speed would not cause the vehicle to crash as was shown. Since it was not a front (steering) tire It would continue in the same path it was going.