Your cats are adorable, I especially like the black and white one with the black nose.
I would be careful and stay outside with your cats when you let them out.
I don't think the hawks will come too close when people are nearby.
We have a hayfield behind our property with woods on the other side of it and there are lots of hawks that live in the woods and circle around our area.
We have seen them swoop down and catch field mice in the field and catch fish in a nearby creek.
We had one sit on our fencepost one time and it was amazing how big they really are.
My friend's neighbor had her chihuahua snatched by a hawk and they lived on a farm in upstate NY so it can happen if you're not looking out.