What events? Purely wargame stuff? Are you able to compete in any way? Would you want to?
My company has a terrible Sandhurst team, but it's a great daily workout so I'll probably join next semester. We have an 'elite' team that represents the whole school called USMA Black, they go out and compete overseas and stuff while regular ol' company teams just train until Sandhurst Week. A lot of demonstrating small-unit movements/tactics, various marksmanship skills, a lot of ruck marches and casualty evacuation (fake-treating casualties and then carrying them around and stuff), dragging various pieces of artillery around a few miles, and at some point a Zodiac gets picked up, carried overhead until the team reaches the lake and then paddle across the lake for some time, stuff like that. It's nothing really crazy but once you make it a competition and you're suddenly in a race, the bar really gets raised!