OK, just watched the video, and it looks like it is a semi-brick (these are most likely caused by changing the region settings to ones that your region of system menu does not support... did you ever try region-changing at one point?). This should be easily fixable these days.
Have you try format your system?
Never, EVER, format a semi-bricked system, or else this will turn it into a full brick (the "Opera brick"). The "Format Wii System Memory" feature is actually pretty useless, and quite nasty to Wiis that have been modded or bricked in any way... just thought I would let you know. Not to mention that the format option is not even accesible due to settings being inaccessible.
Here is the main plan:
1. Use exploit to run The Hackmii Installer
2. Use The Hackmii Installer to install Bootmii and The HomeBrew Channel
3. (optional, but definitely recommended) Use BootMii to make a NAND memory backup (that way we have at least a backup from this wii we can fall back on should things actually get worse... just a failsafe really, better than nothing)
4. Use The Homebrew Channel to run AnyRegion Changer
5. Use AnyRegion Changer to change your Wii's region settings so that they do not conflict with your currently installed System Menu's region.
Here we go:
1. OK, there are a few ways we may need to do this, depending on your System Menu's version. Based on what I have seen in the video, it could be 4.0, 4.1, 4.2, or even 4.3. We can use the bannerBomb exploit to hack into 4.0-4.2, but not 4.3. For 4.3, we could use the LetterBomb exploit, but that one works on ONLY 4.3. So, since we do not know for sure which version it is, for now try to use
BannerBomb to load The Hackmii Installer. Try putting BannerBomb v1 on your SD card as per its instructions found on the download page, and then grab
The Hackmii Installer, and take the boot.elf from there, and put it on the root of your SD card. After that is setup, put the SD card in the Wii, go to Wii Options -> Data Management -> Channels, then select the SD Card tab. BannerBomb should appear, and ask if you want to load boot.dol/elf. Load it, and The Hackmii Installer should load up.
If BannerBomb does not load up, then you could be on System Menu 4.2 or 4.3. In that case, use BannerBomb v2 instead of v1, and this time, go to the SD Card menu instead of Channel data management, and it should load up. Should that also fail (with "Error 004"), then you would most likely have 4.3, and would need to use LetterBomb, but LetterBomb requires knowing your Wii's MAC Address, which you currently have no access to... for the meantime try using BannerBomb and reply back here with the results (hopefully you get The Hackmii Installer loaded up though).
2. Once The Hackmii Installer is loaded, use it to install bootmii (as Boot2 and IOS possible, but as IOS if not possible for Boot2 version install), and The Homebrew Channel. Installer is pretty self-expanatory.
3. Once it finishes installing The Homebrew Channel, it should load it up once you exit the installer.Once there, hit the HOME button to bring up HBC's main menu, and use it to load BootMii. Then use BootMii to make a NAND Backup to your SD card (make sure you have about 528MB of free space on it). You said in the video that you made a backup of another Wii, implying that you already know how to do that, so I will not explain that here.
4. Now after you have a NAND backup for this Wii as a failsafe, grab
AnyRegion Changer and take the .dol from there, and put it in and rename it to SD:\apps\ARC\boot.dol. Then just load up HBC, put in the SD, and load up ARC.
5. Once you have loaded ARC and gotten to the main menu with all the options to change, just tell us which settings you currently have, or just give us a screenshot of said menu, that way I can see what is wrong so I can tell you which settings then need to be changed...
EDIT: ninja'd to a degree by DeadlyFoez