@74m11s AJ is holding the 3 maps together on top of one another. The 3rd (last) map is seen on the bottom (the one with the single hole) then when its seen from above that map is on the top.
The first 2 maps had multiple holes and only the 3rd (last) one had 1 hole.
When AJ Harrison snatches mobile phones and maps and his partner shows them pistol, well, they had Detective Thatcher with them, who has been professionally trained and equipped to handle such eventualities, he just didn't do anything at all.