You should be ok if the coop is secure. A secure coop has every gap over 1/4" wired with hardware cloth and the door latch needs to be more complicated than a hook and eye (coons have thumbs) Expect that when a coon finds you, he will test every crook and cranny and if he gets a handful of bird, he will pull it thru piece by piece.
As to the run, tall 2x4 welded wire or chainlink will stop most daylight critters but it needs to be skirted against digging. (I shot 3 fox last year in broad daylight) The top can be covered with netting to keep crows, ravens, or hawks out if they are in the area (I lost a 1/2 grown African gander to a raven this year) but a coon will go right thru. (this can work to your advantage as if you see a hole in the net, you can assume the coons have found you)
Without wiring in the top and hardware clothing the lower sides, you are basically allowing night predators to wander the run at night but you have taken precautions. The other thing to remember is predators don't follow the rules so a coon may pay you a daylight visit so keep your eyes open.
