Revealing mistake: After the Kree arrive on the ship, in a side shot one of them opens the lunchbox holding the tesseract. We see the blue light emanating from inside, but that only appears once the box is fully open - while it's opening, there's no light inside at all, despite the tesseract always glowing. A later shot shows the glow being visible around the edges of the lid even when the box is completely shut, and when Carol opens it later, the glow appears immediately.

Captain Marvel (2019)
1 revealing mistake - chronological order
Directed by: Ryan Fleck, Anna Boden
Starring: Samuel L. Jackson, Brie Larson, Gemma Chan, Lee Pace
Factual error: The internet cafe Vers visits runs a piece of software even more cutting edge than the brand new, still beta version of Windows 95; Netscape Navigator 4, a release from 1997 - certainly not 1995, when it still had very squared highly recognizable buttons and icons of a different color than those portrayed here. (00:35:15)
Nick Fury: I know a renegade soldier when I see one. Never occurred to me that one might come from above.
Trivia: The first Marvel film released after Stan Lee's death. In tribute, the usual opening ident, which has the comic book characters in the Marvel Studios logo, instead shows multiple images of Stan Lee.





Answer: Howard Stark relinquished custody of it to her. For a full history of the Tesseract see here: https://marvelcinematicuniverse.fandom.com/wiki/Tesseract.
ctown28 ★