What are you burning to? You need to use dvd-r, burned at 4x.
Are you sure your Wii can read burned discs? Only Wiis made before 2008 can read them. If your Wii can't, then you will have to load games from an external, or flash drive.
But, those are some interesting messages when your trying to launch, don't see why it would be looking for a partition on a disc, and the other options have to be enabled in the options I'm pretty sure..
Try going into your drive, or where ever you keep your apps, go to X:\Neogamma and delete it's .cfg file (If there is one) this should set all it's options back to default, and try launching again.
If you can't get ANY games to launch, you could try updating/reinstalling your cIOS.
But you should really have a NAND backup made, with bootmii as boot2, or Priiloader before doing so.;
Bootmii How-to;
http://sites.google.com/site/completesg/how-to-use/bootmii
Priiloader;
http://sites.google.com/site/completesg/system-hacks/priiloader
cIOS
http://www.wiihacks.com/other-faq-guides-tutorials/88654-d2x-cios-installation-guide.html
If skyward sword is your first Motion-Plus game, you need to view a video before you play any back-ups that require it. In Neogamma go into Options < Wii Options < Set 'Alt .dol' to 'Disc+'.
Then, when you are launching it, it will stop in the booting process at
and you can hit left or right to change it to , launching this will start the video.
Watch it all the way through, and your Wii should reboot.
Feel free to edit with more info,
Hope this helps you out! ;D