Using Aptoid, I installed XMBC on the MK802III. As per Update 2 found here, it takes a while to load on the first run. The XMBC logo appears, and sometimes the menu shows up.
When the menu does appear, I can use the arrow keys on the Logitec wireless keyboard / mouse pad to move around, however I cannot select any of the menu options with any keys or any of the mouse buttons.
The right mouse button makes a "back" sound, but still nothing.