Contradictions and Inconsistencies

I did a response to one of the other subjects in the Forum a while ago - "Things Done Right and Wrong" - in which I pointed out some serious contradictions and inconsistencies regarding illogical timelines and Supergirl's powers which aren't powers at all at some times. There were a few responses after mine, and a couple of other people commented that they had noticed some of the same inconsistencies, as well as some others of their own too.
But "Things Done Right and Wrong" was a much broader topic than my inconsistencies were, so I've decided to try continuing this subject here as its own specialized topic. I don't know whether anyone else will have anything to say about this, so this invitation for others to contribute their inconsistencies about the show here will either garner a few contributors, or, if this isn't of enough interest to most people, then it will quickly die a natural death.
So, to get things rolling, here are a few more of the contradictions and inconsistencies that I've noticed on the 'Supergirl' show:

In the pilot episode, 1.01, after her arrival on Earth, Superman placed Kara with the Danvers because they were "scientists who once helped him understand his own super abilities" (quoted directly from that episode). But, if Kal-El's pod landed in Smallville and he was adopted and raised to adulthood by Johnathan and Martha Kent (as we all know is what did happen to him) then how could Clark know anything at all about the Danvers? Given the fact that their family names don't match up, exactly what is the connection? I've wondered if Martha and Eliza might be related somehow, and given the difference in their ages, I speculate that they might be cousins rather than sisters. (And, if that is the case, then that would have made Clark and Alex second-cousins long before Kara even arrived on Earth.) Whatever the connection is between the Kents and the Danvers, this has never been explained, and I've always thought that it would be nice to tie up what has always been (at least to me) a nagging loose end.

After Kara started living with the Danvers, she was having trouble getting used to some of her powers, especially her X-ray vision, which she had difficulty controlling. Jerimiah solved that problem by making a special pair of glasses for her, using lead for the frames to dampen her X-ray vision so that it wouldn't overwhelm her, as told in episode 1.17, "Manhunter". Of course, Kara soon learned how to control all of her powers, including her super-vision, but by the time she graduated high school a few years later she would have grown enough that the glasses that fit her as a 13-year-old were too small for her as an 18-year-old so, logically, a larger adult-size pair of classes would have been required. So if she had long-ago learned to control her X-ray vision, then why would she use lead for the adult-size glasses if she no longer needed that assist, especially given the perpetual inconvenience of her having to move the glasses up or down before being able to use her X-ray vision?

In episode 2.07, "The Darkest Place", Lillian encouraged Supergirl to cooperate with her by shooting Mon-El in the leg with a lead bullet, which caused him considerable pain and discomfort, but didn't kill him. And yet, in episode 2.22, "Nevertheless, She Persists", they countered the Daxamites by dispersing a very small amount of lead dust into the atmosphere, where it would have become diluted far beyond any usefulness. So if a bullet in the leg couldn't kill a Daxamite, then how could such a very small amount of lead dust dissipated into the atmosphere kill Rhea within seconds and send the rest of them scurrying from the Earth?

In episode 4.03, "Man of Steel", Mercy and Otis Graves used the exact same device to disperse a very small amount of Kryptonite into the atmosphere, thus making the entire Earth supposedly instantly poisonous to Supergirl (and Red Daughter too). And yet, in episode 4.20 "Will The Real Miss Tessmacher … ", Kara visited President Baker in the Oval Office, where a large chunk of Kryptonite was out in the open to protect the President from a rogue Supergirl. And yet, although Kara was standing fairly close to it, she showed no ill affects from the Kryptonite. So, just as with the lead-and-Daxamites example above, how could such a small amount of Kryptonite diluted into the atmosphere of the entire world be so deadly, and yet Kara could stand in the same small room with a large piece of it and not be affected?

In episode 3.06, "Midvale", Sheriff Rollins said that drugs were coming in from Canada, which is to the north of the U.S. And the forests which were in and around Midvale are more typical of northern California than in the south. And yet, when Kara and Alex were driving there from National City, the Pacific Ocean was on their right, which means that they were driving SOUTH to get there, and then NORTH to get back to National City. Shouldn't it have been the other way around; going north to get to Midvale, and then south to get back to National City?

If the DEO is such an ultra-secret organization, which will do anything to keep people from finding out that it even exists at all, then why is it that they have two of the highest and most prominent twin skyscraper towers in all of National City? So much for keeping a low profile.

At the end of Season Four's "Elseworlds" cross-over saga, we find out that Lois and Clark are going to have a baby. However, they believe that Lois will have to go to Argo to be safe 'when the baby starts kicking'. Why? Everyone knows that Kryptonians gain their super-powers because of their Kryptonian DNA and exposure to Earth's yellow sun. So if the baby won't actually get to be exposed to that yellow sun until after s/he has been born and literally 'seen the light of day', then the baby shouldn't have any powers at all yet while still in the womb. Or does that make too much sense?

Okay, those are a few examples. If anyone else has noticed any kind of inconsistencies or contradictions with the show, here's your chance to contribute them here.