He lied so naturally that when added to the information the academy already has and seeing his brown eyes nobody doubted him, little did they know he deactivated his Rinnegan before lifting his blindfold.
if she fighting with an arm behind her back will might as well have no limbs
She did not want to admit it, but Will was a worthy opponent, who had made it difficult for her to exhibit even 30% of her true power. She was also worried about the battles ahead so she had to hold back a certain degree. There were also many eyes watching, so she could not use the more secretive Frozen Asgard Arts. She was essentially fighting with an arm tied behind her back against an enemy who was a bad match for her.