[Once it's actually feasible for her to leave and get outside, she's going. She is, after all, determined to figure out where they actually are, get in contact with the LAPD, and make sure this whole kidnapping business is dealt with. (Oh, the lofty goals of the freshly arrived.)
Of course, she's not as efficient as she'd like to be. Prolonged exposure to a sick loser means she has a bit of a sniffy nose, although she'll claim it's cause it's kind of cool today. But she's determined to scope out all the islands. If you check the journals, you'll find her notes about each place she encounters, although good luck deciphering her shorthand.
:| She's totally going to figure this out, okay... /sniffles pathetically.]