When a uniqueness violation occurs, the game is halted and does not proceed until it has been repaired. After the second Aspect of the Hawk resolves and enters play, you would have to destroy one of your Aspects before you receive priority to play a card.
Player Management: Level 2
Rules Knowledge - World of Warcraft: Level 2
Rules Knowledge - World of Warcraft Minis: Level 1
Tournament Organizer: Level 1