The Themyscrian paradigms for love, sex, and relationships look nothing like anything seen in the real world, and would likely make a lot of people very uncomfortable. Polygamy is the order of the day, and relationships aren't meant to last a (immortal) lifetime, or even be exclusive. Lot of sharing and open relationships on Paradise Island. Most Amazons are pansexual, their proximity to the god sphere makes them less concerned about the physical and more interested in the soul/spiritual.
Themyscria has moved beyond what we recognize as economics. They have a complex system of trade/barter and resource management/allocation, but nothing about it would be familiar to an economist from Man's World.
Amazons are *not* reborn women who suffered in Man's World. They're ancient Greeks (or, Greek adjacent I guess) made immortal and set to guard Doom's Doorway.
Almost everyone on the Island takes a turn doing every job. This year, you're a guard at Doom's Doorway. Next year, you're farming in the countryside. Year after that, you're a craftsman making baskets. Only the most senior members of any given industry/field stay in their position, everyone else rotates.
Amazon technology is highly advanced, but based on divination, astrology, alchemy, and other fields we consider proto-science.
The invisible jet is a prototype stealth bomber made by the U.S. that was designed to fight superhumans, and is one of the most dangerous pieces of technology the military ever made. Diana still has the ability to control it remotely with a neural link hidden under her tiara.
Clark and Diana dated early in their careers, for a short time (less than six months). Both quickly realized they were better off as friends and had an amicable breakup. They still joke about it sometimes.
Themyscria exists at the foot of Olympus, on the edge of the god sphere. You can see the mountain rising in the distance from Themyscria's shores. On the Island, all Amazons are as strong/fast/durable as Diana, but in Man's World, away from the god sphere, they're less powerful, closer to Golden Age Superman levels. Diana is an exception to that rule thanks to her god-given gifts. This allows her to win the Competition fairly, without making every Amazon who comes to Man's World an extinction-level powerhouse.
The Island is also home to a number of harpie colonies, cyclops tribes, and other monsters/creatures from Greek myth. The Amazons have trade agreements with some, are hostile with a few others (seasonal raids only, nothing like real warfare, and it's almost become a game for all involved), but mostly enjoy a "live and let live" relationship with their neighbors.
Diana's powers and weaknesses *should* be rooted in sex/gender psychology and symbolism, which is why she 'should' lose her powers if unwillingly bound by a man and why she 'should' be semi-vulnerable to bullets (phallic symbols of male violence). Not "dead on arrival" vulnerable to bullets, but "hey that heavy assault rifle is gonna leave a bruise!" vulnerable. Her weaknesses are symbolic, not literal, which is why a bullet can hurt but a building falling on her won't. But DC will never be able to manage that distinction so it's best to leave her as just another flying brick, even though that's boring and invites comparisons she doesn't benefit from.
Steve Trevor is just the earth-1 variant of Steve Rogers, and should be written as such (minus the powers). He should also be the only man allowed to enter/walk on Themyscria, and that includes the male gods. And while Diana had plenty of flings growing up on the Island and ascribes to the looser, more free version of love the Amazons practice, she has no intention of sharing Steve with any of her sisters, but wouldn't say no to a throple that included him and someone from Man's World. Even she isn't sure why.
Steve's favorite Leaguer is Hal, and they knew each other before the League formed. They're drinking buddies who get together whenever Hal returns to earth. Diana dislikes Hal the most out of all the Big 7. Her favorite Lantern is Kyle Rayner; he's just a real sweet boy and Diana has a soft spot for artists and people who create things. She secretly covets a Lantern ring of her own.
Diana loves cheesy romance novels. The worse the better. But she thinks they're comedies. And she snorts when she laughs.
Diana's the nascent goddess of truth, and can sense lies. They itch. The lasso enhances her ability to detect falsehood, but the power itself comes from her.
She's put more effort into spreading the Amazon philosophy than the comics give her credit for. She's written a number of books about it (as per Rucka), does speaking engagements, Ted Talks, etc. There are people all over the world who now follow the Amazon way, though it has yet to become anything close to a major religion.
The UN, the States, and most other governments spend a lot of time worrying about what Diana will say and do. More than they do any other hero. They worry about the influence she'll have on the population, know that she's here to rock the boat and upend the patriarchy, and are not sure how to counter her without biting off more than they can chew.
Diana adores children more than anything, but they scare her senseless. They're small, fragile, and self-destructive and as the only child on Themyscria, she has no idea how to deal with them. Ask her to babysit and she'll gleefully agree, it'll make her whole week, but she'll lowkey panic the whole time.
Oh, and Diana isn't white. She's got an olive/tanned skin tone that's impossible to place, and soft gray eyes (not blue).