Why do Israelis wear the famous Dam HaMaccabim (Blood of the Maccabees) sticker on Yom HaZikaron (Israel's Memorial Day)?

Schlomit Flaum left behind no family, no one to preserve her memory. Yet she did leave something extraordinary—a groundbreaking book, the first Hebrew-language travelogue written by a woman from the Land of Israel

How did the menorah from the temple end up on Israel's emblem, and how is that connected to Chanukah?