On 19 or 20 March you booked a QR award to go back to Italy. Since then, you were given multiple advice to fly back immediately if you wished to be back home, whatever the cost. This has been the situation of hundreds of thousands, maybe million, pax.
I can understand that you wish to save money and are frustrated with QR.Everyone is frustrated by the fact that airlines plans keep changing and their call centers are saturated.
Given the current situation in Italy, there are very few flights to Italy and they are uncertain. Asking questions like "do you think they will contact me" is unhelpful. This is war time.
The FT community will join you in prayers. But it would be better to keep calling QR even if you have to spend many hours to get through.
In many cases (not QR), the situation was only resolved at the airport. As of this morning, 31 March still looks OK. But that is 3 days from now ...