It's meant to be set in the period between the first and second movies. So why is there a two headed lizard? The nuclear war wasn't until between the second and third movies.
Also, the plot of Fury Road is that there's a gang of slavers who've captured Max, and Furiosa (Charlize Theron) is trying to get her band of 'valuable fertile women' to safety and away from the slavers.
Yet in the second movie, the marauders capture a woman trying to escape from the oil refinery, have their way with her and then kill her.
Plot holes, big enough to drive a big spiky armoured truck through.