No, the Wii does not support HD or HDMI. The best picture it can display is 480p. You need the component cable to use 480p. Classic controllers plug into the Wii Remote with a wire. I don't know what you mean by "wiimotes that plug into wiimotes". The clear rubber case for the Wii Remote is called a "jacket" and it is meant to cushion the Wii Remote in case you drop or throw it accidentally.