Austria has stopped deportations to Greece and Hungary at the moment but not to any other countries. BUT: This can change any time, especially concerning Hungary! Please contact legal aid to be up to date on these developments! Deportations to Italy, Slovenia and other countries are still happening.
If you apply for asylum the first thing that will be checked is whether you have been to any other country of the European Union before. If this is the case – either because you have left your fingerprints somewhere or they find evidence by what you say or carry with you (coins, train tickets, etc.) your application or asylum will not be treated in Austria but they will try to deport you back to this country.