Jedi aren't supposed to be interested in that sort of thing. A Jedi is supposed to be like a monk.



They live to study the Force, learn from the Force... and eventually become one with the Force.



Also, I don't see how the Skywalker's story can't go on through Leia.



Somehow it's less because they have a different last name? That's silly.



What if Rey married? If Luke is getting some, maybe she wants some.



What if see marries Poe Dameron for instance? Now she is Rey Dameron.



There is the possibility that Han and Leia never married.



Couldn't Rey say that she chooses to carry the mother's last name instead?



Unless the plan of Episode VIII and Episode IX is too keep going backwards to explain Luke's last thirty years and answer questions such as:



Who was this girl?

How did Luke meet her?

Why did he decide to father a child?

Why is he changing the rules that were set in place?



Personally, I see it causing a whole bunch of convoluted, questionable, and unnecessary nonsense.



I'm no fan of Abrams to be sure, but I like to think Kasdan is smarter than that.



