Sawyer and Kate are kept in two very large cages outside.
Boxes
Jack in a Box
Jack's prison cell is an emptied aquarium, apparently originally used for sharks and dolphins.
Buttons
Sawyer is put in a Skinner box-type cage which
has a button to press for food. But it isn't that simple. There is a
puzzle to figure out first before it works.
Crosswords
Jack has been working on a crossword puzzle while stalking Sarah. Some interesting clues on the crossword puzzle:
2 Down: Oven
22 Across: Boon
26 Down: Heavy Drinker
31 Across: O'Toole (Rose's car was stuck in the snow in front of O'Toole's)
34 Across: Raft
42 Across: Neccessary Evils (See also: The Greater Good)
50 Across: Prenatal
53 Down: Aces