Hm, there is only one physical flight to travel to Kwajelein, either from Guam side, stooping at Chuuk, Pohnpei, Kosrae on teh way to Kwajelein, or from Hawai side, stopping at Majuro atoll, it the Continenatal flight CO 956/ CO 957.
Since there is no direct flight from AU neither to Guam nor to FSM, I suppose it is easier and cheaper for you to get to Honolulu and from there with one stop to Kwajelein.
Sorry, what you are going to do on Kwajelein? If you go to visit teher is OK, or if you have a job there, otherwise it is absolutely closed military zone, they will not allow you to disembark from airport islet, and sureley you can go to lagoon.
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