It doesn't directly. The star of David is the symbol of Judaism, Hanukkah happens to be a Jewish holiday. In the story behind the holiday a temple is destroyed; after the destruction of the temple...
Hanukkah is a minor holiday that commemorates the victory of the Jews against the Assyrian-Greeks in the Maccabean War of 165 BCE.The real miracle of Hanukkah is that the Jews were victorious,...
Well, the cloak that Our Lady of Guadalupe wore was spangled with stars to represent toe night sky or the Heavans.
Also, stars can represent guiding light.