Hello and welcome to LinuxQuestions,
What exactly are you trying to do? I imagine you want to start screen and next the minecraft script inside a screen session to avoid it terminating when you logout. Is that correct? You can start screen and directly open a SSH connection for example like this:
screen ssh servername
but that doesn't work for local scripts or commands AFAIK. What you could do is just launch screen, start your script inside the session and detach screen:
After that you can check if your screen session is running with:
and re-attach with:
Once your screen session is running you can safely logout of your server. Hope this helps.