Hi Patric,
take a look on this thread:
https://forums.galciv2.com/?ForumID=162&AID=109533
there you can read what's broken and hints on how to run a workaround without having to download the whole game.
I cannot say anything on the Collectors Edition Stuff, because I don't simply know if it's activated for me or not. I didn't received any errors, so I think it's activated, but I don't know how to proof this. I've read the differenc should be the great box of the DVD, the technologytree on paper and about 14 special modules in the shipdesigner. So you'll really miss much if the activation dosn't work at the moment.
Don't misunderstand, it should work, but you can play without it and play with fun until the initial problems with the German release are fixed.
Greetings
Torsten