Thank you for your post.
Upon reading your post this morning, i installed our latest version (3.4.5) on to a fresh installation of Joomla 1.6 and wasn't able to reproduce the issue as reported. Everything thing seam to be working please see attached screen-shot.
Working is Joomla 1.6 JCK 3.4.5
I know that there were some real issue with your PHP which was the first release in the 5.3x serious. But to really to understand your problem we need to know a bit more about your servers configuration.
If you would like I will be happy to take a look, if so can you give me super admin access to your server? Can can email this to us support[at]joomlackeditor.com.