Just looks like she was rubbing her eye when the picture was taken, which is why she is doing the same in the current day photo.

The demo they do on stage is weird because the overly exaggerated expressions she was making looked just as unnatural on her as it did on her Metahuman double. What's impressive is how quickly it went from raw input to a usable, fully customizable asset. That to me is absolutely its biggest selling point.

I think a far better representation is the second one for Hellblade 2.

I don't know, in Independence Day the President was unaware of prior alien contact because he and presumably any president prior were on a "need to know" basis. I know it's fiction but compartmentalization of information is a thing and I feel it's within the realm of possibility that such information could be withheld from a president until such a time that it is deemed relevant for them to know.