It can see pedestrians (they even have a specific model on the visualization) and will stop for them. If one jumped in front of the car, it will slam on the brakes regardless of if FSD is enabled or not. If it somehow didn’t brake before impact, it would slam on the brakes.

Assuming it did not disengage prior to hitting the pedestrian, no.

If the pedestrian is on the ground near the car after the collision, it is very likely it will no longer be able to see the pedestrian and will drive over them:

https://www.youtube.com/watch?v=QrV_whh4Z84&t=384s

Seen from the frontal angle clearly demonstrating it drives over the fallen child:

https://www.youtube.com/watch?v=QrV_whh4Z84&t=410s