ah okay, my bad. I just opened up blockland and quit. Don't know what I was thinking.
No problem.
It still doesn't give enough information to come up with a concessive conclusion.
This is from your log:
Pinging Servers...
Pinging Servers...
As you can see, there is no logs in between.
The only way to get more information is by opening the white command line thingy by pressing '~' or the key left from your 1 key above your letters.
And typing "trace(1);" without quotations.
Then try again to ping the servers and upload your console log.
But it may be it won't give any more information because something is blocking your ports.
Either your firewall, your router or your ISP.
But the strange thing is you do still authenticate, which shouldn't happen if it was actually blocked.
Still, try disabling your firewall for a minute and see if that helps.