"Hey, I have a Server at http://zap-hosting.com/starbound-server-mieten.html Is this a tool for server like this or is this a tool for own servers on my pc?" Can you explain me your comment? I don't get this programm on my server
Starrybound works everywhere, on your own pc or your host. But with your hosting it probably depends if they want to install it or not.
Can't really help you with problems like that. Try contacting your hosting and ask if they want to install starrybound? You are paying them for a service.