Tested with fresh setup sites with clean mysql, after setup you can`t see this module in the module list. Not recommended.
Currently, on installation, our extensions do not appear in the main module list of the Module Manager. Rest assured, the module has been installed, and you just need to select New > RokAjaxSearch then configure, to use the module.
0.8 is just for joomla 1.5
0.9 should work with joomla 1.5 and newer but it is in alpha status right now, sorry yes its still buggy.
It would be useful to know what problems you have exactly. Please send me an email via web form: http://www.individual-it.net/en/kontakt-impressum.html
I'm also happy to send your money back if the software is not useful for you.