That shouldn't be an issue, considering that I had no trouble after changing the DNS server once, and I'm getting the same error when I try to access the GTS as I do in Test Connection, resulting in the whole thing not working.
EDIT: What I'm saying then is that even though I changed the DNS settings, it's still trying to connect to NWFC and is failing at it.
Also, when I just tried making the DNS server 205.185.126.109 (the zorua one), it worked with no problems. If it matters, I haven't changed anything with my router's settings (does it have a separate firewall that needs to be taken off instead?), but it's an Airport extreme and I'm using a guest setting since that way I can connect without using a WPA code. I turned on a setting to let the guest network communicate with this one, but it didn't help...