Which order did my character do?
Yeah, Press H and scroll to the personal story, you can see what story quests you have done before.
Ahh fab. Cheers! I never noticed that before :p
The only mechanical impact aside from that is access to the Order Armor/Weapon vendors, and some different NPC dialogue from fellow Order members. If shady looking dudes are always sidling up to you asking if you know where they can <verb> the un<verb>able for example, congratulations, you’re in the Order of Whispers. If absolutely no one you ever talk to gives two craps about you, including members of your own Order, congratulations, you’re in the Vigil or Priory.
Former Guild Wars 2 fan. RIP, ArenaNet’s integrity.