When I had a raccoon problem they were rather stealthy, leaving little to no sign until I caught them in the act. Once the nights start getting colder they are on the push to fatten up for the winter and will be more bold. I've never had hawks get them, but I've seen one (redtail) fly off with a...
Raccoons often carry off chickens to eat them. They are more nimble than most people realize. If you do a radius search from your coop you may find the remains and know for sure. When raccoons hit my chickens they took them about 20 yards away to a stone fence, which is like a small predator...