It connects to the server just fine and says that the licence is verified. But after I press "close", I don't get into Microstation and I'm back at the activation screen again if I try to reopen the program.
Did you install MicroStation Trial, by chance? This version uses a special MicroStation Trial license, not the standard MicroStation license. If using standard MicroStation, please perform the following steps:
Yes, Microstation is activated, but I don't have it installed, only the trial! Please see the following images:
Would it be as simple as just installing Microstation and then using the licence tool to activate it?
Yes, please install MicroStation as opposed to MicroStation Trial. It will use your MicroStation license.