Hurry,
As for the dynamic, it changes often in bigger herds, but this one is pretty small, so it's only changed a little bit. When they first arrived, Stella had the highest dominance, but she was soon outranked by Destiny. Stella was used to having her mom around in the old herd, though, so I'm guessing that she lost a bit of confidence when they were separated. (Speaking of which, her mom died a few weeks ago at the age of 12.)
Kids are usually bottom of the ranking, and they're even ocassionally bullied by all the does that aren't their mothers. Though there are does that dote on all the kids, even those that aren't theirs. However, the kids are always bottom of the ranking, whether or not they're bullied or spoiled.
In nature, the bucks and does usually have separate herds when it isn't mating season, with a pecking order within these herds. When mating season rolls around, the bucks will seek out the does and go up the ranking so that a buck is in charge of the herd for a short period, and he will be the one with mating rights. Therefore, if the males and females were kept together at all times, a buck would be in charge.
Males will get along when they're familiar with each other and the rankings have been determined. When they're first introduced, and uncertain about who is more dominant, they'll go at each other to figure it out. Once this is over, though, they get along as well as the females do.
Bucks are usually just as kind to kids as does that aren't their mothers. If the buck is a kid-loving sort, he'll play with then and such. If he isn't, then he'll bully them if they bother him. They, like does, don't usually go after kids that aren't bothering them no matter the situation, though.
As for weird goat customs, I'm not actually sure. Well, some does might help a mother in labor clean off her babies after birth, or if she can't pay attention to them because she's still in labor. However, we'll be separating any does in labor because they have us to do that, and the other goats might just get in the way (at best) or start bullying the kids before they can even stand (at worst).
I can also think of how sometimes, during mating, males will woo the females first. Watson was the sweetest to Stella, it was adorable. He was making "buck talk," which is kinda like flirting for goats, and he was licking her neck. My goodness it was a precious moment.