What have I gotten myself into?
The Spank The Cutie bit sounds dreadful. Ganbare! Keep on keeping on!
The namless guy (named Cap) Is the leader of the Kazama family (The main cast) He is their fastest member (Faster then Anyone in the cast I might as well add his runing speed is stupidly good.) He also has a habit of solving problems off screen. Also it's not really smarties vs Dummys Class S just has all the richest and most influental people in it.
I can completely understand the confusion if you haven't played the VN. If you have, though, the first episode is all Continuity Porn.
I can recomend you look at the manga I found it more entertaining.