For some reason, Rory goes through the front hallway cupboard and finds her Dean box. Upon discovering that Lorelai didn’t throw it away after all, she is actually pleased, and kisses Lorelai to say thanks. She goes through the box, now ready to explore her memories and feelings of Dean, rather than push them away.
The items she is shown examining are her dress from the winter formal that she attended with Dean; Colonel Clucker, her stuffed toy rooster that Dean picked up the first time he was in her bedroom; the box of cornstarch she accidentally stole after Dean kissed her; and the home-made leather bracelet that Dean gave her for her sixteenth birthday.
Colonel Clucker may be a callback to the dream about Kentucky Fried Chicken, founded by Colonel Sanders, that Lorelai discussed with her. Perhaps Lorelai’s dream was mildly precognitive, especially as Rory found her Dean box at the back of the hall cupboard? Rory’s dream may have been precognitive as well, since her dream was about accepting her emotions – or perhaps it just showed she was psychologically ready to find the box, and so she did.