At the end, Jane is carrying the heels out of the gym.
Korsak mentions running things through NCIC several times, however, the tasks he cites (checking for unsolved murders, etc.) are not found in the NCIC database. That is generally used for checking to see if people are wanted or items are stolen (and a few other things). The things Korsak wanted may be found in databases, just not NCIC. Hence, the show is mostly factual (as much as any TV show can be), just not with NCIC.
While Maura's heart is in the right place in trying to get Jane to eat better, the chemicals she lists from the cupcake packaging will not harm the fetus in such quantities. (Anything, of course, can harm a person if ingested in large enough quantities, including plain water.) The fact that such chemicals are also used for industrial practices does not mean that they are not edible. Calcium carbonate, for instance, is commonly used in antacids; pregnancy can lead to heartburn, which would be treated with an antacid. It is unlike Maura to make such generalizations.