Character mistake: Near the end of the movie, Dr. Bennett told Nathan that he could live with her and be able to finish the school year (without having to transfer). Assuming Nathan was a minor (under 18 years of age), Dr. Bennett did not have the legal authority to simply take custody of Nathan. There are proper court procedures to follow; a judge would have to agree and sign a court order declaring Dr. Bennett as Nathan's (temporary or permanent) legal guardian.
Character mistake: When travelling between zones, they go 12 - 10 - 9 - 8 - 7 - 5 - 4. Which is the only route you can take that includes zone 8 as shown. This is silly as there are quicker routes such as 12 - 7 - 5 - 4.
Character mistake: Early in the movie, when they do a hard reset on the supertanker's containment system, the computer screen says "sistem reset".
Character mistake: When they get the elephant, she is a she, but the boss man continually refers to her as "the bull", which means male. A female elephant is called a cow.