The solo student pilot reported that, after completing a touch-and-go landing without incident, during the takeoff, the airplane drifted left off the runway toward a wooded area. He attempted to slow and stop the airplane, but it struck a culvert, which "launched" the airplane back into the air. He then increased the engine power to full, pitched the nose up, flew the airplane back into the traffic pattern, and landed without further incident. After taking time to gather himself, the student took off again, this time to conduct a basic navigation exercise in the local area, but he became disoriented and used the airplane's GPS to return to the departure airport. The student stated that he was distracted during the downwind leg due to the previous runway excursion and the navigation issues he experienced during the accident flight and allowed the airspeed to decrease, which resulted in the airplane stalling. While making the turn to base, the student overcorrected with left rudder, which resulted in the airplane entering a spin and subsequently colliding with trees. The airplane sustained substantial damage to both wings. The student reported that there were no preaccident mechanical failures or malfunctions with the airplane that would have precluded normal operation.