Yes, but it should be in the list of UnityPackages you can add when you make a new project.
You could package all your FSM templates in a unitypackage and import that too...
Sorry, don't think there's a way around having to import these things into a new project. You might be able to automate the process in some way though...
My save layer of Unity from best work with the PM is gone too.
Not sure what you mean by this...?