During Burnham's fight with Lorca, in the wide shot of the fight, when Burnham grabs the phaser and raises it towards Lorca, she is holding it backwards, with the emitter (barrel) pointing backwards at her own head. When it cuts to the close-up, she is holding the phaser correctly. See more
It is well known that my species has the ability to sense the coming of death. I do not sense it today. I may not have all the answers; however, I do know that I am surrounded by a team I trust. The finest a captain could ever hope to command. Lorca abused our idealism. And make no mistake, Discovery is no longer Lorca's. She is ours. And today will be her maiden voyage. We have a duty to perform, and we will not accept a no-win scenario. You have your orders. On your way.