Looks like it's hitting A log file, but not the right log file. The only lines it is seeing are RCON Actions. These look like this:
Rcon from 192.168.1.100:-1660:
Now, these don' typically get written to the games_mp.log by default so I think we are looking at a configuration issue (could still be on the server itself, or Paronicon, which is what we will find out next).
Send me your data folder. Make sure you do so in a PM and a private way as these files DO contain some server info that can be read by the right person. Also, send me a copy of your server.cfg so I Can see what settings you are using.
Everything else in the logs seems to be in working order.