Tard Trek

I keep thinking about the plot holes in Star Trek: Into Darkness. Like, all day.
SPOILERS.
When Kirk and Khan were doing the ship-to-ship jump in deep space and Kirk's HUD went down, why did Khan rescue him? It was the perfect opportunity to be rid of him. No one could pin his death on him because it would be an accident.He had more than one opportunity to let Kirk die, or else kill him. In fact, I think he had four chances.
The first came during his terrorist attack on the meeting. Khan was strafing the entire side of the building with heavy rounds. The entire building should have been turned into Swiss Cheese, but it was like he was missing on purpose. He even gives Kirk the evil-eye as he teleports away.
Then Khan saved the entire Away Team on the Klingon home world, even though he correctly surmised they were either there to capture or kill him. He let himself be captured by Kirk as a risk.
Then there's the incident during the jump, but after that there's the sequence where they're fighting their way through the ship. Kirk loses sight of Khan several times, and does little to support him. It would have been effortless for Khan to betray him at that point, but instead he gets betrayed. It's almost as if Kirk's the real bad guy of this movie.
Does Khan like Kirk? Khan freely admits to missing his cryogenically frozen family. Is he lonely and wants a friend? Could the whole movie have been resolved if the two went out to the peelers? Since the whole subplot of the movie is how Kirk and Spock's bromance is breaking down, was Khan going to be his replacement?
Strangely, Khan's really the one who actively stopped a war between the Federation and the Klingons. If he hadn't destroyed that weapons facility and exposed the plot, Earth would be at war with a superior force. Even though he's clearly sadistic in the means he carries out his revenge, it's inadvertently serving a greater good. Even in the end when he's trying to crash-land the ship into the Federation headquarters, he'll end up saving millions of lives by completely shutting down the Federation and their secret plans to go to war with the Klingons.
That's just one character of many. On the other end, there's the technology. The teleporters on the Enterprise are a plot device more than a technology. They only work when it's the least dramatic. Half the movie seemed to be about the cast explaining how they couldn't teleport person A because of situation B, so they'll have to do C instead. Meanwhile, Khan teleports from Earth to the Klingon homeworld with absolutely no difficulties or problems. The movie starts with a scene where they can't teleport Spock, who's a mile away, because of a volcano.
If you've ever really thought about teleporters, and how they work, you'd realize how pointless the Enterprise and everything on it is. All you really need is a teleporter instead of a spaceship. It's faster, safer, and it doesn't blow up every five seconds.Have you ever noticed how during space battles they're still able to teleport from ship to ship, despite everything blowing up and there being shields on both ships specifically designed to prevent this from happening? If they can do that, why bother moving people around to try and disable the ship? Just teleport out a chunk of the other ship's Warp Core and they're done. If you can teleport people, you can teleport bombs. Or just teleport their captain off of the ship and call it a day. It doesn't matter if you can't get a lock on him, because you're trying to kill him anyway. Take half of him if you can.You can teleport literally anything. If they're about to fire torpedoes on you, just teleport the torpedos away, or teleport the control panel they were about to press, and laugh your balls off at them on the monitor.
Also, why didn't they have radiation suits for the Warp Core? If you have time to argue and fight with your shipmates and knock them out cold, you have time to suit up. I just resolved a major issue in two Star Trek movies.