I updated to version 0.8.2, and insert WodPress media now works fine, thank you.
However insert NextGEN gallery does not work. I am not sure this is a problem by the Black Studio plugin or NextGEN gallery. NextGEN puts a button in the edit menue that also shows in the Black Studio widget. It normally inserts a shortcode in a page or post, but that does not happen in the widget. If I write the shortcode manually, the gallery displays however.
Since NextGEN gallery is one of the most popular plugins, it would be nice to make it work in the Black Studio widget.