All of this is necessary to find a solution to fix your wii. There are many methods, and they all have there own requirements to work. If you don't understand you should stat any specific areas of confusion. I don't really understand why you tried mario kart, since the guide states the requirements for the disk swap method. So if you only have a patched ios36, Castlevania Judgment is the only one that works. You could try SSBB pal, I have not tested it, but it should autoboot and possibly allow disk swap loading if it reboots to the health screen. If you have other patched ios that run games, you can try other games.
If you have patched ios36, you can use mario kart to restore the trucha bug to your system ios.
Try to install Indiana PWNS following the guide, or just format the wii with the N recovery disk. But that only works if you don't have stub ios16-v512 installed, you did not update to 4.x from Nintendo online or game.
Otherwise, go buy a wiifit board, or start burning games, or do SSDm, you'll probably need a lot of disks.
Next time follow the advise found on every single guide on the net- INSTALL PRIILOADER