What was the urgency?
No idea but maybe a combination of the issues you mention and the "significant fuel leak", which the report states they were aware of, was enough for them to have some "urgency"... FWIW The report says after the loss of yellow Hydraulics, they declared a PAN. This was all before the fire. As a PPL I knew a definition of PAN, maybe its different for better pilots. After the fire... they declared a MAYDAY.
do they have steps for an A319?
With a significant fuel leak, maybe the crew weren't expecting to be using any steps.