Episode VII (spoilers)

[Drich]

She flies a spaceship she has evidently never flown before

who says? she has that farm tractor speeder she built from what looks like "Twin Ion Engines" (T.I.E. fighter)

so well that she can dodge tie fighters in the guts of a star destroyer.

she knew the inside of the star destroyer because that is where she scavenged for parts. If you will not when she was comming to the end of the room she gasped and knew to make a hard right out of a hull breach that we did not know was their till they changed the camera angle. This show indepth knowledge of her surroundings.

 She can fix a spaceship she has only been on for a few minutes better than Han Solo, who presumably knows a thing or two about all the special modifications he made to the ship.

No, she was explaining the modification made by that fat scrap monster to han. If you remember the cave scene who ever left rey on Jakku left her in the care of the fat scrap guy. So I'm sure she was very familiar piloting "his" ship.

 She is sufficiently unfamiliar with a blaster to forget it has a safety, but never misses once she turns it off.  

her first shot was a miss...

She knows she can use the force to influence Daniel Craig without being told force could do that.  

After being "forced"/Mind raped by So-Low the "force awakens" in her!
We see in her mind rape scene that she is able to 'extract' info from so-low. So why not parts of his jedi training?

She knows how to pick up a light saber with telekinesis without being told how to,

So did Luke In ESB!

and she beats the stuffing out Kylo Ren even though Ren had training enough to to kill all of Luke's other apprentices, while she her self had no training at all.

Chewie blew a huge hole in his side, at best he was fighting at 50% not to mention Finn got a few lighsaber licks in as well

It sound like she should be training Luke, not the other way around.

Because you know not the ways of the force!