Those are some amazing photos! We have lots of crows around here, but I have not been fortunate enough to capture one flying away with stolen bounty, yet.
As often as not, we see the crows chasing the hawks out of their territory; I've even seen crows divebombing eagles, while making lots of noise.
Yeah the crows are good at pilfering lol and with the preschool next door there are plenty of squabbles over any goodies scored.
As for the Hawk, I've never seen one hit a crow but it was alone so maybe the Hawk got some payback for past interactions because the Ravens and crows drive off birds of prey often here.