Hello,
Sorry to hear you are having issues. I know the first default icon is "Start Menu" this you can add by right click on tab-> add->Docklet-> Start Menu docklet.
Not sure why it don't work on your system. But I can always drag icons from a dock to another dock. Unless you have turn on the "Lock icon dragging" function.
On URL issue, this I can reproduce, I have forwarded your problem/question to Stardock Support Team for their assistance. Please keep an eye on this thread for any updates. We appreciate your feedback and patience.
Basj,
Stardock Community Assistant