Regardless of the time of day you decide to fly, the ticket price will remain around the same. Book flights from Jakarta to Alabama as you normally would.
CGK stands for Jakarta Soekarno-Hatta Intl Airport, while BHM stands for Birmingham Airport. These codes are often called IATA codes, a set of identifiers established by IATA (International Air Transport Association) that is widely used by airlines and the aviation industry. Huntsville Airport (HSV), Mobile Airport (MOB), Montgomery Dannelly Field Airport (MGM), Dothan Arpt Airport (DHN), Mobile Downtown Airport (BFM) are other airports near this flight route and their unique identifiers/IATA codes.