Well... I had to reinstall my OS. I've reinstalled the Apps and since a few days it's not possible anymore to use full functionality of said Apps. They run in trial mode, no way to export Media with Premiere Pro, for example. Now Creative Cloud even thinks I didn't install Lightroom at all - which I did. I do not get any messages about trial mode nor anything else.
The very first installation was not CC but CS6, however this fresh installation is CC only. So, I really wonder, what's this about... I'd like to export rather sooner than later my projects. Thank you.