I find it funny how people raise a vulnerable, slow, flightless and not always so bright animal like chickens... who tend to be at the top of every predators menu when they come around... and then are squeamish about doing what's needed to protect said vulnerable animals. You wouldn't want bears, cougars, or coyotes hanging around a playground where toddlers play, you shouldn't have skunks, raccoons, foxes, coyotes and raptors setting up shop around your chicks.
Yes, the first response should be barrier protection. Secure your birds. Second should be habitat management. Keeping a buffer of open space around your coop and eliminating den sites and cover (dilapidated structures, brush piles, garbage, chuck-holes) will increase your birds odds of safety. These work, usually pretty well, but predators are persistent and intelligent. Unless you have welded chain link in all 3 dimensions, they may find a way in. Mitigation is a good method, but sometimes you need a trap or a rifle.
I recently had to eliminate a skunk, and also a bonus opossum that I didn't even know was in the barn. My birds are in a welded wire exterior enclosure with raptor wire overhead, and a solid framed coop space built into the barn. I overbuilt it because I live near 600 acres of marsh and low forest which is teeming with predators. Both the skunk and the opossum dug underneath the 3' block footing to gain access to the barn and set up shop under my woodpile dining on eggs. The skunk was ambushed and shot with a .22 rifle, I spent several hours waiting in the hayloft with a firing loop cut in the plywood floor and a dimmer switch on the coop light to allow just enough light in to see the target and sights. This skunk was particularly trap-savvy, the connibear had not worked so far and I was still losing eggs. The opossum met his end in the connibear later that same night.
All I can say about hawks is that it is illegal to kill or harass them. What my neighbors do on their own property however, is none of my concern so long as it does not present a danger to me. As eluded to above, crows and other birds don't like hawks. If you have blackbirds and grackles around, an open feeder with sunflower seeds and cracked corn will attract them. They like to feed in open areas, placing it over well manicured grass will reduce the attraction to rodents.