We are searching for a possible reason why the HDMI is not working properly.
In the meanwhile please review the High Definition Audio Specification document.
Please disable the reltek codedec acl886 and just try with the HDA in the HDMI to test.
It looks as if the graphics driver is not installed since your HDMI monitor is not detected.
There is another audio driver that comes along with the graphic driver package which should get this setup working.
Here a link to get the driver package for both Windows 32bit & 64bit.