Ana-Lucia's sprinting along the beach while we surprisingly hear no music from Rocky or Chariots of Fire. She races up to her tent, where Locke's chillin', eating a banana, ready with a quip about how she's running like the devil's chasing her (stealing his folksy sayings from Desmond, I see). Like Mr. T, she ain't got time for the jibber-jabber, and asks him what he wants; she knows he wants something because she's been there a week and Locke hasn't spoken two words to her before now. So Locke gets right to it: "We've got a man locked up down in the hatch. There's a possibility he's one of them, the Others." Ana-Lucia wants to know what he means by "we," and Locke says him and Jack, which is a pretty good example of lying by omission, which Ana-Lucia will humourously find out throughout the episode. Anyway, Locke wants her to talk to Henry: "You have experience with the Others; you were a cop. Seems to me you're the most qualified to figure out if this man's telling the truth." Ana-Lucia asks if Jack knows that Locke's coming to her with this. Locke considers his answer for a moment, before calmly spouting off about how they have a problem and he's doing something about it and he doesn't need Jack's permission and blah blah blah. The key thing is this: "Right now there's a man sitting in a room in my hatch, and I want him out." Italics mine.
Sun's angrily pushing her way through the bushes to the beach, and needs to grab onto a tree because she's breathing with some difficulty. Bernard and Rose go strolling by, arguing like an old married couple. They spot Sun in distress, and put aside their Lockhorns routine to hustle over and see what's wrong. Sun says she's lightheaded, and Bernard helpfully says she looks as pale as a sheet. Rose tells him to give Sun some water, using her best "you idiot" tone of voice. "Yes, ma'am!" snaps Bernard, and I can't believe I'm saying this, but shut up, Bernard. Turns out Bernard forgot Rose's birthday, but in his defence he doesn't even know what day of the week it is. Rose suggests they get Jack, which Sun vehemently nixes, which doesn't look suspicious or anything. She says she probably just spent too much time in the sun. That's also true of Jin since he got back, you know. Ahem. "Well, you spent a lot of time around the baby, maybe you caught something," says Rose, although Sun's head looks normal-sized to me. She thanks them both and continues on her way.