Lorca looks like he's heading for a fall. I quite enjoy having a captain that's not a paragon of all that's great and good about the Federation and evolved humanity etc, but it's clear he won't be in charge long term. With all that's been put on Burnham I very much doubt she'll make captain, but I can see her redeeming herself in Starfleet's eyes and regaining her commission down the line. I'd accept her as First Officer, but I think that'd be too much of a jump. Second Officer or Science Officer would be more like it.
I would really like to see what happens to Lorca and how he handles things after the war is over. I think that would be an interesting story. He can get away with things now because of the war but what about when he can't?