Daniel is Ellie aka Eloise Hawking's child. She is in LA, she's private, she can command time, and his rat's name was Eloise. Widmore may be the father but this is not certain. Eloise left the Island to have Daniel. She continued to work for the Others in her little hatch in LA.
Miles is Marvin Candle aka I-change-my-name-every-five-freaking-seconds' child. They're both Asian and kind of jerks. Candle sent Miles away because the Others wanted to take him because he was special in that he can commune with the dead. Miles was brought up in foster care या द्वारा a cruel relative making him callus. He came back to the Island for the money and to talk to his parents' ghosts in Ben's Big Pile of Dharma Initiative Skeletons. Miles does not seem to care that he's flashing back and forth through time. Perhaps he is waiting until they flash into the time of his father so they can meet.
Charlotte's mother was brought to the Island because she was special. She was brought in the same manner as Juliet. She was either Dharma Initiative या an Other. Her mother came to the Island pregnant with Charlotte. She was cast out after चालट, चार्लोट, शेर्लोट was born. She went insane leaving चालट, चार्लोट, शेर्लोट with no idea where she was born. Alternative theory on parentage: चालट, चार्लोट, शेर्लोट is Richard's daughter. She was able to survive her mother's pregnancy because she is in some ways immortal. Richard sent her away because she killed her mother during childbirth. Richard, although wise, has never been prepared for the mortal affair of parenthood. Just after this he meets 12-year-old Ben and tries to make amends द्वारा अभिनय as a father figure for him.
The Island brought Daniel, Miles, and चालट, चार्लोट, शेर्लोट back because they were never supposed to leave. या they were sent away because they needed to come back and save the Island. The three may be able to solve the problem concerning pregnancy on the Island. They may have a connection with Aaron, Ji Yeon, and possibly Walt.
If we follow this train we can assume that being born या conceived on the Island grants special abilities such as Miles' necromancy and Daniel's intelligence and perhaps Charlotte's slight immortality. (Which raises the question: Was Richard born on the Island?) या were they born या conceived on the Island because of their special abilities? What abilities will Ji Yeon and Aaron have?
Also, like Aaron, Miles and possibly चालट, चार्लोट, शेर्लोट were "raised द्वारा another" and not their biological parents. Did this cause Miles to develop a sinister power या to use that power for personal gain? Is this why चालट, चार्लोट, शेर्लोट hasn't shown any real powers?
There is a reason for those three being picked to go on the mission द्वारा Matthew Abaddon या Widmore. There is a reason why they are the only freighters left.
Frank Lapidus was simply doing a job he should have done before. His sole purpose is to take people who need to go to the Island there. He messed up when he was too drunk to fly Oceanic 815 (trying to avoid destiny) and going on the freighter mission was destiny's way of course correcting. Frank may very well be needed to correct another one of his mistakes. He may need to be the one to take the Oceanic 6, Ji Yeon, John's corpse, Ben, and taller ghost Walt back to the Island. Frank's purpose was also to ensure that Ji Yeon was born safely. That's why he was able to take Sun off the Island.
Frank also acts as ex-St. Christopher, the Christ bearer who carried येशु on his back across a river. He has to bring dead John Locke back to the Island so he can be resurrected. If चालट, चार्लोट, शेर्लोट dies from Minkowski's Disease she may come back to life. She is also born of woman and an immortal. Frank would have brought two Messiahs over a body of water.