Good work. Okay, two things I found out from the log:
1) The %APPDATA% path does exist. The full path name for screenshots on your computer is C:\Users\igotb_000\AppData\Roaming\HardLightProductions\FreeSpaceOpen\screenshots.
2) You're using 3.8.0, and others have reported graphical problems on 3.8.0. Try a nightly build, or try playing with 3.7.4.