Recently saw the movie. Lots of fun, you won't regret going to see it. I'd put it somewhere between Ant-Man and the first Iron Man in terms of quality. The ending is a big standout, since there's no laser shooting up into the air, a sky portal, or a CGI dumb giant monster to fight. It's well paced, doesn't waste your time, and there's a Stan Lee cameo in it, with a wink to the camera. The movie is non-stop smiling at you. It's just joyous. Even when it tries to be a bit more dramatic, it still has a big grin on its face, and that's just charming.
Though, it seems in some place like it tries to shoehorn in continuity that didn't really need to be there. Coulson has no reason to be there, neither do the two Kree you mentioned.

As for the Tesseract, we already knew how it got to Earth. It's been there for centuries. It was buried in some old norse ruins, dug up by Hydra, lost at sea and then somehow recovered by Shield. Turns out they recovered it via this movie.
Also, Captain Marvel has been a woman for many, many decades in continuity. Making her a man would have been weird.

I hope the movie does well. But if it turns out they need to boot Brie, oh boy can they do a proper Rogue now.