That's a pretty cool story about your family, I have to say. Even more so it is a real pity that you and your family couldn't enjoy the new movie as much as I did.
How many times did you see it in the theater ? Maybe it was the first shock seeing a Mad Max movie after a long period of 30 years...
I saw Road Warrior in 1982 on its original theatrical run too. The difference is, my girlfriend from the past disappeared somehow...
A few months later a had the chance to see MM1 in the theater. When I think of it today, it was very unusual but I think the cinema owner at that time
was a Mad Max fan too

Both films are my alltime favourites.
About Thunderdome normally I don't waste any words, it was simply one of the most disappointing movie experiences I had in my life.
But speaking of character development in Fury Road, oh there's a ton. There are so many details, it's sheer impossible to get them all on the first view.
At least there are three fully fleshed out character arcs: of Furiosa, Max and Nux. And Max' development is not much as different as in Road Warrior.
It's amazing, even the Wives, each of them has its own backstory.
For instance here's a little example of The Dag:
when the group is in the desert together with the Vuvalini and they are talking about the Citadel The Dag mentions:
"It’s got everything you need. As long as you’re not afraid of heights."
And very interresting, in the last scene of the film when she is standing next to Furiosa on the lift you can see her biting on her nails (...)
You can see this particular scene only for one second but it shows you: yes indeed, SHE IS AFRAID OF HEIGHTS !
As I said, you have to watch it again !