Unless I am reading the syscheck wrong, you don't have the latest version of d2x in your slot 249 (but I still don't see why that shouldn't be able to run Mario Kart)
Just to be safe, try using modmii (if you don't already have it get it in the stickies) and then follow these steps:
Start ModMii Skin -> choose ModMii Wizard +Guide -> Select 'No' -> Choose your current system menu version -> Choose your current region -> Again, choose your current system menu version -> Dont check anything, just hit next -> Now check 'Recommended cIOSs' -> Choose your SD card -> Hit finish
Now wait for it to download the WADs on to your SD card, and then install those on your Wii using MultiModManager.
Once those are installed then you should have all the most up to date, recommended cIOSs, and if Mario Kart still doesn't run, then you probably have a bad rip.