As Kylo Ren himself says in
Despite being enemies, Rey and Kylo Ren share a connection called a 'Force dyad' and eventually become romantically involved with one another. Following Palpatine's final defeat and her own resurrection, Rey adopts the name Rey Skywalker to honor her mentors and their family legacy and renounce her lineage.
The Last Jedi took the stance that Rey's parents were nobody, and while this may have been true from a certain point of view, The Rise of Skywalker gave us the true answer to Rey's parentage. In the film, we learned that Rey was a Palpatine, and her father was a clone of the infamous Sith Lord.
And then, wonder of wonders, she leaned forward and kissed him. A kiss of gratitude, acknowledgement of their connection, celebration that they'd found each other at last.
Rey is technically Ben Solo's Aunt...
She does not have a baby bump, her hand never goes to her stomach to indicate she's carrying a child, and there wasn't exactly any time for her to have conceived a child with anyone in the course of the film, including Kylo Ren/Ben Solo.
Initially unknown to Rey, she forms a dyad in the Force with Ben. The dyad is an unbreakable Force-bond that makes them one in the Force, despite being born as two physically separated individuals. Thus, despite not being related by blood, Ben is Rey's other half, making him her "soulmate" or "twin of the Force".
So does Finn love Rey? No, not like that. The films and comments made from those involved in making the trilogy have made clear that despite seeming to have some romantic tension between them, there is nothing going on between Rey and Finn.
Do Rey and Kylo have kids? She does not have a baby bump, her hand never goes to her stomach to indicate she's carrying a child, and there wasn't exactly any time for her to have conceived a child with anyone in the course of the film, including Kylo Ren/Ben Solo.
The question of why Leia's body only disappears after Ben Solo's death has a few potential answers, but it boils down to Leia's own journey as a Jedi. Her character can be considered one of the most important of the sequel trilogy. Her arc has always been inherently tied with that of her son.
While on the planet, when someone asked her who she was, Rey responded by saying that she was "Rey Skywalker." Although she wasn't related to them, both Luke and Leia had been mentors to Rey throughout the sequel trilogy.
Rey was born on Hyperkarn in 15 ABY during the rise of the New Republic. Her father, Dathan, was a bioengineered Strand-Cast cloned from the genetic template of Darth Sidious, the Sith Lord who ruled the Galactic Empire as Emperor Palpatine.
In addition to rejecting Sidious, Dathan married a woman named Miramir, whom he fell in love with. Together, they conceived a child, their daughter Rey, who was born in 15 ABY. Although he renounced the Sith Eternal and his donor, the Palpatine bloodline would prosper through him, just as Sidious predicted.
Kylo became very fond of Rey, as she was one of the few people to ever treat him with compassion and kindness after his fall to the dark side, to the point she even begins to refer to him as Ben, and he lets her do it despite not liking his birth name.
A crystal embodies the Jedi as the heart of the lightsaber, and pure kyber has no color until it's bonded to the Force user. This process likely resulted in Rey Skywalker's lightsaber being yellow.
In Star Wars: The Last Jedi, we learn that Rey and Kylo Ren's connection to each other via the Force, a strange power that allows them to communicate and even touch across vast distances of space, was concocted by Supreme Leader Snoke.
In the spite of not getting credit for the discovery, Nerdatron shares the list of concealed clues from TROS showing that Rey is definitely pregnant with the future Skywalkers.
The Emperor's son sired a child of his own, Rey, his daughter who inherited Sidious' power in the Force, unlike himself.
In a new excerpt, it's revealed that the names of Rey's parents are Dathan and Miramir. Dathan is the dad and Miramir the mother, if you were wondering; it's not always clear with these names from a long time ago in a galaxy far, far away.
Years later, Finn and Roselinen have married and had two children, Bonnie and Jay. Quilton tells them that an ancient book has been discovered revealing that the door to Finn's world appears periodically.
Duel of the Fates unused script, page 54. Rey takes Poe's face in her hands and kisses him.
Ben grabs fertility beads off of her neck through their bond. When Ben brings her back to life he places his hand over her womb.
It seems that with his last ounce of strength, Ben gave what was remaining of his life energy to save Rey. This was his last sacrifice, effectively acting as redemption to return him to the light side of the Force. That is why his body vanished, as Jedi like Luke Skywalker and Obi-Wan Kenobi and Leia did before him.
Rey's lightsaber was a yellow-bladed lightsaber that was constructed by the Jedi Rey Skywalker following the First Order-Resistance War.