I'm just going to use yours as starting point - again, my opinion herein. Not arguing with people that didn't like it. The reason I disagree FWIW:
The bloodline was not the entire story of the original trilogies. It was the main focal point, sure. But Anikan and Luke weren't the only Jedi to have ever lived. The bloodline helps and the mythology of the specific Skywalker bloodline was that it was one of extreme power with the force, but it wasn't the only one. There were other massively powerful Jedi, Yoda being only one of many.
The lines between good and evil were always blurred. That is the point of Luke's anger in the Emperor's room at the end of Jedi, and the reason that the Jedi counsel, Yoda and Windu, specifically, acted the way they did in the prequels. There is ultimate good and ultimate evil, sure, but most people deal in the middle. The island of the very Jedi temple had a dark side. There can't be one without the other. The Sith embraced the dark, the Jedi the light, and while the Sith never had a good side that we were shown, the Jedi had a bad side. Their own arrogance led to their own downfall. Luke made that clear - it is arrogant of the Jedi (arrogance being the precursor to the dark side) to presume that they know the only true way to use the force. And if it is truly an energy field enveloping all things, then it has pieces of all things in it - good and bad.
I didn't take the arms dealer thing as a grand muddying of the waters, but a lesson to Fin that everything is never what is always seems to be - which connects the dots that Luke was teaching Rey - don't just presume the guys that say they are good are always good. You will be wrong, and that presumption leads to the arrogance that led to the fall of the Jedi.
The breaking of the lightsaber was awesome in every respect. The force is more important and powerful than one family, one symbolic tool of its power. The fight between Rey and Kylo is an equal fight that not even tradition can stand in the face of. If you truly believe that the lightsaber of a Skywalker is that important then that is the very reason why the Jedi failed. The symbolism too precedent over the substance.
The training wasn't necessary to use the force - it was necessary for the Jedi to train children the way the Jedi wanted to train them to ensure that they used their powers in the way the Jedi wanted them to. The lesson of the prequels was rather clear - the counsel determined who they saw fit to learn how to harness the power, and therefore by definition there were kids they turned away. The need to be trained was selfish by the Jedi - make sure they are on our side, instead of truly understanding the power within them. That selfishness helped to turn Anikan, and it tore at Luke until the very penultimate moment of Jedi. Look at the language of Palpatine in that room - he wasn't saying join me because you are done, it was join me and I will train you in the use of the dark side. The power of the Jedi and the Sith needed to be taught - not the force itself, but how to use it for the ends of the people who would control it on both sides.
Rey isn't a master - Luke said she had raw power. Just like Anikan when he was a kid being the only human that could control a pod racer. Kylo can't dominate her because he is still too emotional and lacking the self control to use his entire ability. And he isn't all the way bad because he couldn't kill Leia.
Not too far off. Maybe we are putting the OT on a pedestal a bit in here. 
