At the very least, you're most correct in that Rey's parents appear as though they could be just about anyone, thanks JJ's masterful deceptive abilities. Still, one of your points strikes me as more helpful than the others, IF it is in fact true.
If this is a reboot (as you pointed out, it does have that appearance), then Rey would appear to be a reboot of Leia. This is important because it would account for the similarities you exposed without supporting the idea of Leia being Rey's mother. That being said, it certainly doesn't support the opposing idea either. Unfortunately, it only clouds the issue of Rey's ancestry further.
Personally, I share your opinion in regards to Leia being Rey's mother. Considering the repeated falling outs between Han and Leia; Leia's precarious position as a rebel leader; and BB-8's homage to R2D2. I suppose it would also explain the interactions between Kylo and Rey in a more comprehensible light as well.
Loved the post man! My wife and I debate this topic frequently
Good point. Maybe she just is the new Leia... Part 2 will be out Thursday. I go 1600 words deeper lol.