breakfast only in business class.
scheduled departure at 7:00am (not 6:55).
official LX check-in time for VIE is 30 minutes before departure, but I recommend at least 45 minutes, security check queues for early morning flights can be long (business class passengers can go faster, their queue is on the right of the long eco queue).
if you take the CAT train from VIE Mitte (train and U-Bahn station) you can already check-in there (take a train at least 60 before scheduled flight departure, check the train schedule, the train itself is fast and only takes 15 minutes).