Wow! Yeah, red shouldered hawks aren't all that common around here.

Our owls were the small screeches (one would fit in your cupped hands, easily) and likely wouldn't approach your dog at all. They're bug eaters, though they'll eat frogs and small fish, too. Not much into mice, or so I've read. I bet they'd eat them, if they were there, though. ;-)

Who knows, they might be heading your way. :-)