Island Exits

Viewers are aware of at least two ways to leave the island to return to the mainland:

1. By calculating coordinates according to a formula, it is possible to sail off the island and reach the mainland. Without the coordinates, one always returns to the island. The Others use this method quite often.
2. Turning the Donkey Wheel below the Orchid. Doing so transports the operator to a spot in the desert in Tunisia. It appears that the year of one's return is impossible to predict and uncontrollable.

Is there another island exit viewers have not seen? We are led to ask the question due to the following:

1. How does Jacob leave the island? Notice that so far, it is possible to show that he only visits the island in the present, even though it may appear that he time travels into the past. Sailing from the island would allow him to do so.
2. How did Daniel Faraday leave the island shortly after TT to 1974? Was he even aware of the Donkey Wheel at that time?
   

Perhaps the largest conundrum is posed by Daniel's jump, since he travels back in time to the mainland, and then returns again via DI submarine in 1977, clearly armed with a mission from the information he gained while away. He must have been working for the DI at least some of the time he was gone, since he has photographs from the island and is in their employ.

Eloise Hawking

Eloise Hawking's story arc in LOST inspires more questions than answers, questions that when answered will provide integral insight to our understanding of the LOST paradigm.

You can find a detailed recap of Eloise Hawking in Lostpedia, the incredible LOST catalog built by loving hands and minds of fans everywhere.

QUESTIONS

1. Her interaction with Desmond inspires our most fundamental question regarding Eloise. During her interaction with him, she foreshadows a stranger's death, also noting the stranger was wearing red. Viewers are left with little choice but to conclude that red eventually means death. The alternative is that Eloise has at least some omniscient powers regarding the future. Since she is human, the second alternative seems far fetched. But which is it? Her awareness of Desmond and his future role in the island is at least possibly explained by her son's journal, although that seems strained as well.
   
2. In a meeting with Ben, Jack, and Sun, Eloise warned Ben that he had no choice but to collect the O6, and that "God help us all" should he fail. ("The Lie") Although there is no evidence Eloise has been on the island since 1977, she seems to be intimately aware of what is going on there. While her son Daniel Faraday's journal would give her some detail, it would not give her all the information she so obviously has. How does she acquire this information? To be fair, later she meets Penny after Desmond is shot by Ben. When Penny asked if Desmond would be all right, Eloise said she did not know and that for the first time in a long time she didn't know what was going to happen next.
3. Eloise leaves the island shortly after her preparatory actions in 1977's events, and never returns despite knowing how to do so. Does she leave the island by turning the Donkey Wheel? Is there another island exit? Why does she not return?