Stupidity: Carol enters the Imperial Cruiser that doubles as a secret laboratory, uncloaking it. She does not cloak it back, so the villains just find it immediately. But blood-thirsty Ronan, despite having multiple ships, does not target it or acknowledge it, despite fully knowing that Earth has no defenses and is not a threat, while a Kree vessel would necessitate countermeasures.
Suggested correction: The Kree wanted what was on the ship. Destroying it would not achieve their goals. Additionally, since Carol was able to decloak it using her suit, so could any other Kree soldiers.
If to decloak it they need to know the location, it had to be visible to begin with? Going by the movie, Ronan has not even been informed about Mar-Vell's project. If the movie still remembers there is any (no indication is given), he suddenly finds a ship not part of his fleet and does not question it, simply going by what the plot wants him to do. Which, actually, could be fully intentional, since he obviously just cares about blowing stuff up and does not care even if any of his fellow Krees is still on the planet (not that the movie implies it, as movies normally would, but he's such a one-note character that it could be possible).
Earth doesn't have defenses and is not a threat, the Kree cruiser is obviously not part of Earth's defenses but is one of their own. He just didn't realise it is a target instead. Besides, Kree are on board, why would he target it?
That's exactly the point of what I originally said: Earth is not a threat, but he, fresh off his jump, right away gets in bombing mode without checking where the other Krees are (Yon-Rogg is on Earth at that exact moment, right the spot he is dropping the bombs at, even!) or batting an eye at the cruiser that happens to be already there, not target it but ask "what is going on here?", hail them or receive a report about the situation and where he is supposed to blow his load (would have been a single line of dialogue, here it seems an issue entirely ignored because plot moves from A to B): as a member of the military he is supposed to coordinate his attacks (like he did earlier on the first meeting with the Skrulls, where he bombed a specific part of the planet). Here all his instructions have been "Come at once, Earth has been infiltrated!", but he launches the bombs right away, seconds after jumping close to Earth.
Stupidity: Mar-Vell's laboratory is a spaceship that the captions identify as an imperial cruiser, not exactly the kind of thing that can go missing unnoticed. Since the Kree were so determined in finding Mar-Vell's work and are so attached to it that they keep Carol around, how is it possible that in 1989 or ever since they haven't looked for her cruiser? Carol manages to uncloak it without using any secret code (that she wouldn't know since Mar-Vell told her about the whole alien thing just barely before dying and was not privy to any security measure).
Suggested correction: Decloaking the ship still necessitated knowing its location. The Kree didn't know where it was, so couldn't decloak it.
But they don't even look for it. He literally goes "oh, well, the engine is gone, let's go home", without any attempt to look for Mar-Vell's project or, again, the big cruiser thingy. Something so important, and yet the empire does not care about it to probe around for it.
In your other entry you suggest Ronan doesn't even know about Mar-Vell's project. More likely he doesn't care, since he is a fanatic who worships the old ways. Its logical he will ignore it, especially when his interests have been turned towards Carol flying around blasting through his ships. Which he later forgets for whatever reason as well.
No, no, I am referring to Yon-Rogg in the past, and the empire as a whole: they are after whatever work Mar-Vell was doing, to the point of keeping around with a very flawed brainwashing plan an incredibly dangerous being created with that technology, but don't look for her ship or evidence of her work, at all. 6 years with the knowledge that somewhere around (or on) Earth there's the key to unlimited destroying power and/or a hyperfast engine, and everyone is like "Meh, whatever" for no reason.
Stupidity: Project Pegasus is a billion dollar structure with no security guards besides the couple dudes Fury shows the badge to at the entrance, no video surveillance, and once SHIELD arrives nobody has to even open a locked door anymore.
Suggested correction: First of all, Fury was allowed in as it's a government facility and he works for the government and as a SHIELD agent is allowed access. It's inside a mountain and they passed multiple security guards as they drove in, armed guards. Everything is thumb prints and cameras which was quite elaborate for that time. To say they lack in security is quite an understatement. SHIELD has quite some authority and can easily take control in the Pegasus project facility.
You are right about the main entrance being truly secure both for guards and strategic position. The problem is that they are free to just roam the facility for an hour, blast through doors, not a soul in sight, no evidence of camera monitoring the inside of the structure, and once the gag of the pad is finished, no door requires it. Actually, funnily enough you can see a guard of the place opening the elevator for Fury and the supervisor, as if the thumprint scan was needed to even get into the elevator itself, but Keller then just walks into the archive just fine (from a different door than the one Vers blasted). There are keypads to exit places (for instance the hangar, when the agents in pursuit break through the door you can see a keypad on the wall) but only when it's convenient (Vers and Fury walked through that same door with no problem, not to mention the fact that the whole stairs seem to have none, which is funny for a place that has keypads both sides of doors).
Stupidity: For being a ruthless race of conquerors, every Kree in this movie is awfully cautious when pulling the trigger. From the kree soldiers who don't shoot the prisoners who were already set to be "ejected into space" (instead of being shot on the spot) nor the space monster attacking them with tentacles, to Yon-Rogg and Minn-erva who do not shoot Carol when she is about to destroy the engine (Minn-erva especially should have no problems doing that and it's the whole purpose of a sniper). The best bit about the shooting idiocy happens when "Just a girl" starts playing, and Minn-erva with 2 soldiers armed with rifles from an elevated position do not shoot their precision rifles but rather jump down on the same level as Carol for absolutely no reason. Which soldier with a rifle would get closer to the enemy?
Stupidity: The whole sequence when Fury and Vers have to "prove to each other" that they are not Skrull is pure nonsense for the sake of 'comedy'; neither knows the first thing about each other and their culture (the protagonist remembers nothing about Earth and obviously Fury has never been exposed to aliens) so they can't verify the reciprocal information this procedure is based on.