Exactly this. Wake up get to the airport in time for your flight. They have to deal with it. It's pretty easy to tell them no if they say call up or use app.A bit late now, but you would have been better off not calling and just going to the airport as planned.
The OPs wife was checked in already, as well.
Doesn't help the OP, but hopefully it helps someone else who reads the thread.
I see, so really, your out of pocket is $350 - $50 - 10k ~ $200, assuming you value 10k at $100 (valuation can go anywhere between $50 to a few hundreds, depending on how you use them).
Points have no value, according to Qantas. OP is out of pocket $300.
They were already checked in...I think QF would be on the hook here. They made a schedule change at the very last minute and so far as I could tell you didn't accept the new flight schedule. In theory you should have been able to arrive at the airport, try checking in (which obviously would fail) and then have the person at the desk put you on a later flight. At a minimum I would expect them to either refund the ticket or cover the money you spent out of pocket to get the new flight. In future though, when this happens, you should have a giant grin on your face since that means QF is now on the hook to get you where you need to go by your rules.
-RooFlyer88