Just as an update for everybody arriving on train or bus services:
There are no border closures at the moment. OEBB rail services are running normally exept between Salzburg and Germany. Connections from Salzburg to Innsbruck ("corridor trains") are back on a normal schedule albeit being sometimes a little bit late. There are no problems between Munich and Innsbruck and usually no or little waiting times at the border in Kufstein at the moment.
This may change at any time but at the moment everything looks pretty quiet. For updated train service information, check
http://www.oebb.at/en/index.jsp.