Even if Charlie could just run away, the Maldivian government could cross-check immigration and the list of guests on the island to know who was missing. It was just proper procedure, considering a foreign tourist was missing, and if they contacted the Oskian embassy, things would really go badly for him.
That was why before Charlie intervened, he had to make sure communications were down.
And once he was sure that the satellite station was down and the wifi was out, he made a dash for the sea