Bagwell introduced himself as Brett/Brad Benson- either a reference to the Pro Football player (who sells cars in East Brunswick, NJ) or the guard/accomplice Brad Bellick from Prison Break.(Brett Bellick has a similar alliteratory quality to Brad Bellick.) Furthermore, while he drove her car, she called him "Brad". Either or both would make sense here, and be appropriate in this scene, as he's at a sales conference AND escaping prison.
The trivia item below may give away important plot points.
The scene after he tossed the woman out of her car, in which Bagwell appears, he's acting like a door-to-door salesman, He introduced himself as "Henry Pope", the Warden under which the "Fox River 8" escaped. The man he introduced himself to was "Wayne Garrett" an obvious reference to the actor Lane Garrison, who played T-Bag's "girlfriend" Tweener in Prison Break.