After 1644, Native Americans living near the coast had to accept ___.

The answer is that "After 1644, Native Americans accept English Rule".

In 1640, there are about ten thousand settlers in Virginia and with time population of white people grows and the population of Native Americans becomes less. In 1622 and 1644, there are two violent confrontation respectively. Native Americans defeated both times and after 1644, they have to accept the English rule.