You may be able to replace the convertible control module located in the trunk of 2009-2010 second gen convertibles. (Found on e-bay for as little as $65). If your mini is first gen these parts are even cheaper. I have a similar issue with my 09 Mini S convertible but my sun roof wont open but if i manually open it with the tool it comes with as soon as i get it open the hydraulic portion works fine. I've replaced the control module i talked about and the sunroof motor and these both didn't fix the issue. I've been told that the foot well module may be the culprit. any one have any suggestions?