The student pilot reported that the approach was stable, but during the landing roll, when applying the brakes, the airplane veered to the right. He released he brakes because he thought he needed to in order to maintain directional control, but he then reapplied the brakes. Subsequently, he added full power to go around, and after becoming airborne, the airplane turned left. The right wing struck a runway sign, the student reduced power, the airplane landed, and he applied the brakes to stop. The airplane sustained substantial damage to the stabilator. The Safety Manager of the flight school reported that there were no preaccident mechanical failures or malfunctions with the airplane that would have precluded normal operation. The automated weather observation station located on the airport reported that, about 13 minutes after the accident, the wind was from 210° at 7 knots. The airplane landed on runway 05.