All of these game related problems where they give you a black screen can be solved by installing the needed IOS via Wad Manager. The only drawback of you being on 3.4 and not 4.X is that you cannot install Preloader which will give you some brick protection. You won't also be able to launch wiiware and virtual consoles off an SD Card (though that isn't something valueable unless you play lots of wiiware and VC)
If you plan on upgrading, do this safely by following this guide as doing an official update will take you to 4.2 and remove your homebrew.
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