I don't see anything problematic in log file, so most likely problem lies in game itself. One more thing you could try, is downloading newest version of executable from:
ftp://ftp.idsoftware.com/idstuff/doo...1.1304.x86.run , install that in some temporary location and copy needed files to your doom directory. Another solution could be to simply run doom's windows exe (if there's DOOM3.exe in your game's install directory) with wine, as that should definitely work.