Swells of up to 4.5 metres high have been inundating coastal areas.
The first flight left on Tuesday morning.
"We would be concerned by any actions that destabilise the security of our region."
The only desalination plant on the island of Banaba broke down in November - and there's been no rain in more than a year,.
Six crew members abandoned the boat on Monday.
Micronesian leaders have received an apology from their colleagues in the Pacific Islands Forum.
It is seismic, says Dr Damon Salesa.
Provisional results over the weekend had the HRPP and FAST party equal on 25 seats each.
The quake is the second in less than 24 hours.