Other people have mentioned electric poultry netting and something to put over the top to protect them from hawks, and that's really good advice. It doesn't have to be expensive. You can get an electrified netting kit for less than $200 to make a run and a roll of deer netting from a landscape or hardware store to go over the top of it. I get mine from Tractor Supply. In the configuration you're using now you could just drape a couple of strips over the top of the whole coop and run and use clothespins or other types of clips to hold the netting down. Attach some more around the outside of that fencing to make it harder for something to push through until you get an electrified solution in place. The deer netting comes in 100' x 5' rolls and it goes a long way. You'll find all kinds of uses for it.
Not sure if this is where the OP got chickens, but they also operate in my neck of the woods:
It would be best if the feed barrel is not near the chickens, raccoons will try for them too if they're hungry, and it could attract other predators. In a garage, or barn, or inside your house, or even a good shed is an okay place. You might have to deal with mice or rats (get a metal container) but raccoons would be locked out. Bear are somewhat deterred.
