Well, if the objective was to protect Rey and Han or Leia couldn't see her, it would be much less painful if they didn't know about her. I mean if they did, they probably couldn't resist going to see her or take her which would blow the cover. Especially when the objective is to protect from Kylo potentially corrupting her, that is way too close for comfort and easy to find being related. It could be done for protection.
But why would Han Solo be fucking around doing smuggling missions with Chewbacca instead of looking after his daughter? He could take her anywhere, and just stay with her.. Remember, Han isn't part of the Alliance any longer, so... what's stopping him and Chewy from looking after her..
Clearly, it wasn't his decision.
Also, Han and Leia are not part of Rey's flashback.
She has a flashback to Cloud City, in the hall where Luke and Vader battled it out; that's got very little to do with Leia. Luke's lightsaber is calling to her, not Anakin's. And she sees Luke and R2-D2 near her, with Kylo coming after her. She never once hears Leia's voice, or see's Leia or Han in any of her flashbacks. She sees Luke, and hears Obi-Wan, Luke's mentor. She hears Yoda's word's, said to Luke during his training on Degobah about "it's energy (that surrounds us, and binds us)."
At the end of the film, Rey is in tears because Luke is her father.
The Skywalker story goes from trilogy to trilogy passing from Anakin, Luke to Rey; rather than via Leia who Abrams didn't see fit to make a Jedi.
And I will also offer you this: even if Leia and Han were originally intended to be Rey's parents, they likely aren't going to be anymore now that Han has been killed off and Carrie Fisher has died. Unfortunately, I just don't think they could make that work.
My main question is that Kylo seems really strong in the force, perhaps too strong to be completely mind wiped?
Ridiculously strong.. Like absurdly so.. I really don't understand why they made him this way.
Or maybe that doesn't make a difference. Rey was really strong in the force and didn't even know it.
Which.. makes little sense when you think about how the Force works.
I guess that could be attributed to Luke being like one the strongest force users ever. But trust me, I'm even searching for more holes in the theory and I think it is plausible. I might need to rewatch the movie.
Yeah.. the movie was pretty bad, but Abrams made it so that the story could go either way.
I think they could do whatever and just explain it away; but, I do think the original intent was that Rey was supposed to be Luke's daughter.
And FWIW Walter; in the original Expanded Universe story; these characters were cousins, not siblings.
Kylo Ren is a complete rip-off of Jacen Solo. His name "Ben" was borrowed from Ben Skywalker, son of Mara and Luke Skywalker; using the same origin (Obi-Wan).
Han's son falling to the dark side happened in the EU. Abrams just took the character "Ben" swapped the name over to the Solo family removing Jacen's name and siblings, then changed the gender and gave the character the name Rey.
The age difference, dynamic, etc, is roughly the same. Jacen... I mean.. Kylo's fascination with the Force, the Dark Side, his internal conflict, and obsession over Darth Vader, are all from the EU.
So I'd guess, based on that as well, that Rey was intended to be the child of Luke Skywalker.
I had thought we'd have seen Mara (by some other name) at some point; but I'm guessing she's dead and Kylo or the Knights of Ren murdered her -- hence Luke's exile (which also happened in the EU, the exile I mean).