Do I have this right?

Do I have the outline right below? In chronological order, I've got:

1) Research assistant Rand. He's a sweet farm kid from an ethnic minority of singing pacifist agrarian types, and his boss, post-breakup, pre-evil Lanfear, accidentally lets the devil out of the sky while looking for limitless magic energy.

2) Suave Rand: A decade or two later? The world has gone to heck, all the male wizards went crazy, they are having magic nuclear war, and the necklace lady is sending out one magic orb and 10,000 magic tree saplings in different wagons with the pacifist farmers, who promise to take care of it.

3) Swedish grandpa Rand: Three generations later? He says something about his grandfather. Pacifism isn't working out great for the wagon people. Some of them decide to stay on one side of the spine-of-the-world mountains, but Farfar and his grandbaby take the magic orb over the mountains.

???- Are the guys who don't cross the mountains the ancestors of the grungy hippies from season one? Do they still remember the song at this point? Why'd they forget it?

4) Hobbit Rand: What's the time gap here? Are they across the mountains now? Is the old man in this one the little kid from #3? The wagon people are still wandering around with the magic orb, but with definite plans to plant the magic tree in the desert. Some of them get fed up with pacifism and decide to become the present-day Aiel.

5) Big bushy beard Rand: Huge time gap, right? Like a few hundred years at least? They've had time to build a massive city in the desert, fill it with statues and monuments, get the orb tree planted and grown to full size, split into a bunch of Aiel tribes, build a whole culture, forget they were once pacifists... and then the necklace lady shows up for reasons, fills their city with magic fog and glass trees, and makes them all have to do trials from now on.

Is this the same necklace lady from #2? Just how long do the wizard ladies live? Also, what's her beef? They watched her damn orb for her for like, a thousand years.

6) Stilgar Rand: 20 years before the start of the show. He kills Moraine's uncle but his wife gets killed and baby CW Rand gets kidnapped.

More or less the right track? I'm cool with background book lore, just would like the major story beats to be a surprise.