Pard'n me, and since when the Kalidor Crescent is Alderaanian?
I grant you pardon, but since when was that medal the Kalidor Crescent? It doesn't look like the Kalidor Crescent, and nothing I can find on Wookieepedia suggests that it was the Kalidor Crescent. It's not even a military award -- Luke and Han are out of uniform when they get it. It's a civilian award, such as a civilian authority like a planetary sovereign would grant. For all we know, she had just made them Knights Commander of the Alderaanian Order -- I'm sure any and all Alderaanian honor societies had vacancies at that point.