"Plane and kids being taken from the past" immediately makes me think of The Missing, a novel series by Margaret Peterson Haddix, the first book of which (Found) was published in 2008.
A thirteen-year-old boy named Jonah had always known that he was adopted and had never thought much of it until he began receiving strange letters sent to his house. When Jonah's friend Chip, who received the same letters, learns that he is also adopted, Jonah, Chip and Jonah's sister, Katherine, set out to find out the truth about their origins.
They end up in the middle of FBI investigation, people appearing and disappearing, and a strange tale from a woman named Angela DuPre, who saw a plane appear (and later disappear) from nowhere, and discovered 36 babies on board, minus pilot and copilot. The three come to realize that Jonah and Chip are important missing children from history who were transported to the 21st century by baby smuggling time travelers, whose names are Gary and Hodge.
Later, they are unknowingly lured into a cave, known as a time hollow, with all but one of the other 36 missing children in an attempt by the smugglers to take them to the future. After they have defeated the smugglers, another time traveler from the future known to them as JB (Janitor Boy) decides to send Chip and another boy, Alex Curtis, back to the 1480s, where they were originally taken from. While trying to stop him, Jonah and Katherine are accidentally taken along for the trip as well, leaving it up to them to save their friends and return to the 21st century.
Later in the series, as any time travel novel, there are considerations of not doing this or that in the past because of the consequences in the future timeline.