I hope this helps the log file
Your log doesn't show any errors. It only shows the airport cache required to be regenerated, and this might take some time, and during that time, you can't use GSX and the menu won't work, so you only had to wait after the airport cache was completed.
In addition to that, you can even disable the whole airport cache concept, and have GSX using the new SU10 Navdata API, which will allow it to be compatible with encrypted airports ( Marketplace or Premium airports ), and you do that by the GSX Config Panel in the Installer, this way there will be no airport cache, and GSX should be available as soon the flight starts.