So, it seems like there was no more oil (the imagery in the script seems to suggest the oil fields being burnt). It is a world-wide apocalypse, although not necessarily of the nuclear kind - it depends how literal you think “touched off a blaze which engulfed them all” is.
You can see the original script here: https://www.scribd.com/document/253321759/Mad-Max-2-Script
That script matches the production script you can see here: https://propstore.com/product/mad-max-2-the-road-warrior/262-hand-annotated-production-script/
So, it seems like there was no more oil (the imagery in the script seems to suggest the oil fields being burnt). It is a world-wide apocalypse, although not necessarily of the nuclear kind - it depends how literal you think “touched off a blaze which engulfed them all” is.