Luke Skywalker is the very definition of a Gary Stu (aka Mary Sue)

"Luke had less time from farm boy to Jedi "Knight" than the 20 years Rey had fending for herself and being a little mini-engineer on Jakku."

LOL at you using one of Rey's Mary Sue moments to argue against her being a Mary Sue. The idea of a little girl fending for herself on a hostile desert planet is utterly laughable. She would have been claimed by someone as a slave immediately, and she would have offered about as much resistance to grown men as a mouse offers to a cat.

The idea of her being a scavenger is laughable too. Removing parts off old heavy machinery often requires a lot of strength and/or a lot of specialty tools (which are heavy, expensive, and take up a lot of space). I'll bet you everything I own that Daisy Ridley can't separate a ball joint on an old pickup truck with a hammer like my mechanic friend Dave can do with just one or two solid whacks, even if she tries for a year straight. Buffoons like you, and most everyone in Hollywood, have no idea about such things because you/they have never done any mechanical work. And even if someone in Hollywood realizes it is ridiculous for Rey to be a successful scavenger, their SJW agenda overrides common sense.

Mary Rey Sue being the Sho Kosugi of the bo staff is yet another joke. Also, even if she did magically acquire high level skills with a bo staff, she isn't strong enough, and a bo staff isn't effective enough, for her to fend off a grown man (let alone, grown men) who also survives on a hostile desert planet. She might get one hit in before being tackled by someone twice her weight and three times her strength. Again, you and Hollywood types have no experience in real fights. In the real world, people don't act as if they've been hit by the Hammer of Thor when hit by a low-mass stick swung by a weakling.

"Luke also used telekinesis at the start of Empire without it ever being shown in the first movie."

It was established in the first movie that Obi-Wan could communicate with Luke even after he died. Plus, it had been a couple/few years since he was first instructed in "the force," and it took much effort and concentration to "force pull" that lightsaber to himself. Mary Ray Sue not only force pulled a lightsaber without any training at all, but she did on day one, and had such a mastery over it that she overpowered a powerful force user who was trying to do the same thing.

"When telekinesis was added to the Force in Empire, it was simply introduced with Luke showing off something he couldn't have ever been taught."

Yes, he could have been taught it. See above. Mary Rey Sue, on the other hand, was much better at it, and a lot sooner, and definitely wasn't taught it.

"Then in the next movie he builds a lightsaber even though no one could have taught him"

Yes, he could have been taught it. See above. How unfortunate for your position as a Rey apologist that it was established in Luke's first movie that Obi-Wan could still communicate with Luke after dying.

"Rey is shown arguably learning her mental skill and her telekinesis by copying what she can feel Kylo doing, it happens BOTH TIMES in both the interrogation and when she diverts the lightsaber. Daisy even does a tremendous job showing in her face the realization that she can do back to Kylo what he's doing to her mind!"

Utterly absurd. If that's the case, why had training always been required? Why didn't Obi-Wan simply copy & paste his Jedi Master abilities into Luke's mind?

"Luke is allowed so much leeway, and Rey literally gets bashed for doing the same things for even better reasons."

You are thoroughly confused.

"And then Luke also is never trained in lightsaber combat by Yoda, or anyone"

His first training was with a lightsaber, plus Obi-Wan could communicate with him at any time throughout the OT. Darth Vader even said to Luke in TESB, with regard to Luke's lightsaber skills, "Obi-Wan has taught you well," even though he knew he'd killed Obi-Wan years prior. He said the same thing to him in ROTJ, when it had been even longer since he'd killed Obi-Wan.

"Rey didn't even do that well against Kylo"

Is that a joke? She WON, despite having never used a lightsaber before.

"who had already been hit by the saber from Finn, who had gotten shot with the bowcaster, who was bleeding"

Those things didn't affect his mobility at all, as you can clearly see simply by watching the movie. Also, Mary Rey Sue had been slammed into a tree at high velocity, and fell some 20 feet to the ground, which should have broken several bones and incapacitated her for a few months. Yet she, in true Mary Sue fashion, shrugged it off and beat a high-level force user in a lightsaber fight. LOL at that, and LOL at you too, you know, while I'm at it.

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"who also ALREADY DOES NOT WANT TO KILL REY, he wants to train her and offers to..."

Had the writing been true to previously established rules and logic, he could have simply "force frozen" her and not have to fight her at all. Also, even if he did decide to fight, he could have immediately cut off her lightsaber hand, since she should have known fuckall about lightsaber fighting. How about you go a round with an Olympic fencer and see how well you do?

"And she only bests him after focusing on the Force...."

The force that she had zero training in? Is that "the force" you're referring to?

"And she's got years of fighting staff experience, remember!"

LOL!

"Luke is a demigod compared to her AND the great Anakin/Vader, and yet Rey is being questioned."

You're insane. Mary Rey Sue equalled or exceeded everything we've seen Luke do, in her very first movie, with zero training, and it's even more lopside if we limit the comparison to Luke in his first movie. Here are some things she did in TFA that Luke never did in Star Wars (1977):

1. Use the "Jedi mind trick", even though he had seen Kenobi demonstrate it.

2. Use his light saber in battle, even though he had some basic training with it, much less defeat the "big bad" with it.

3. Use the "force grab", much less overpower a powerful force user's simultaneous attempt at a force grab.

4. Pilot a totally different type of craft than he already had experience with, much less do so with expertise (his T-16 was similar to the X-wing that he piloted at the end of the movie, and was even used for training X-wing pilots).

5. Fix anything on the Millennium Falcon, much less fix something that Han couldn't.

6. Become an expert shot with a blaster pistol the first time ever using one.

7. Beat up his attackers, much less more than one attacker at the same time, and much, much less more than one attacker at the same time that each outweighed him by at least 70 pounds. Instead he was beaten senseless by one of the Sand People, and saved by Kenobi, and then pushed to the floor in the cantina, and again saved by Kenobi.

"Do you see the double standards yet?"

No, moron, there is no double standard. You're simply an idiot.