RiiConnect24 requires its own set of steps, I see u have a patched ios31 and ios80, if these came from riiconnect24 the u should be fine, although the recommended ios80 from modmii is a bit better both should work for riiconnect24. There's a step to run the mail patcher app as well, but I've never used riiconnect24 so I don't recall if there are more requirements, perhaps u also need to change the DNS setting
If u feed your syscheck into modmii it will help with everything else, like missing bootmii for example and optimal/latest cios's, but you'll need to double check the riiconnect24 instructions afterwards
Edit:
If someone wants riiconnect24, after using modmii they should follow their guide fully, except skipping updating to 4.3 (if applicable, because modmii's system menu ios's can get riiconnect24 working on all system menus) and skipping updating ios80, since modmii's already works with riiconnect24