For whatever reason, it looks like you are not logged into the chat server. It appears in this log that you clicked Play Local?
You have to login for things to work. I'm assuming you have tried though...
The login server is missing, which seems to be an error.
In the login screen make sure the master server listed below your login is set to...
"
http://www.planetmule.com"
Login with the username and password that you use on the website. If this doesn't help, may need to download the program from the mule server again and see if that fixes anything.
If not then may need administration to check it out.
I don't see any evidence that you are logged in correctly in these logs and I can't diagnose a networking problem past that point if you aren't logged in.
Next time, try to log into someone else game too. I want to see the log for that. It doesn't tell me how your computer is interacting with other games if you create your own game.