ummm... Dude if you wii is korean why is it on a North America system menu????
From the looks of it, all your stuff is just outdated. You just need to update your ios's so that the newer games can work. The only way for you get all this stuff is using an sd card. The wii is picky with some of its sd cards. You should get SanDisk as your sd card instead. Seeing how your on system menu 4.0, look up dogeggs 3.1-4.1 softmod any wii tutorial and get all your homebrew stuff back up-to-date and it should work. The twilight Princesss hack is out of date as well.