Austrian tax liability

I'm a dual Australian / German citizen and an Australian resident for tax purposes.  I'm thinking of taking a job in Austria where, as a resident, I would be "subject to unlimited tax liability with their worldwide income".  Austria and Australia have a treaty for the avoidance of double taxation.  Does anybody know how that works?  In particular:

Would Austria seek to tax my pension income which is tax-free in Australia?

If I died in Austria, would Austria impose inheritance taxes on my estate in Australia passing to my children in Australia?  There a no inheritance taxes in Australia.