In the past I experienced several times the problem with missions not completing. My assumption is that this can happen if you have too much open missions at the same time.
I changed my gameplay in a way that I always have only one active mission. Since I do that I had never again this problem. Maybe this helps you too: Delete all open missions and have always only one active mission.
Druuna - tried that before but some missions are unfortunately, still broken! I think the problem is if you play the mission to soon compared to your characters rank. In anycase how can I get credit for the mission? Can a GM do that?
To the people who have run this mission before, have you had a reply from your GM ticket? If so what was it?
edit I just got my reply:
Thank you for contacting us regarding this issue.
"We would like to confirm that we are already aware of this issue. This MMORPG is a living and evolving experience. As such, the Game will continue to change as we implement and polish new features, which are a key in continuing development of a dynamic play environment.
We appreciate your feedback. Thank you for playing!
Unfortunately demo accounts can't leave the tutorial, if you wish to go further in the game, you will have to purchase it."