And now the Gamecenter is crashing.

DomoSapien: Interesting, so it seems to crash while parsing all the web content that populates the launcher? I wonder if it might be related to firewall or port forwarding settings.

Granted it's been a few years since I worked in Support but to me, that sounds like it might be connection-related somehow.

Customer Support might be able to help you identify what's causing the issue but I anticipate it'll be a bit of a lengthy troubleshooting process since it's kind of a complex issue. Still, might be worth a shot.

You might want to try submitting a ticket.