Hi! Welcome to BYC!
Nice looking coop!
You're going to need to predator proof the run. I'd suggest adding a band of 1/2" hardware cloth to the bottom half where you have just chicken wire now. You'll also want to have an apron of heavier gauge wire, that runs at least 18" out from the "walls" of the run. (don't ignore the corners.) It's there to deter animals that dig. Mine is covered with a couple of inches of dirt and it's secured to the "walls" so nobody can sneek in thru that gap. Some people have it laying on the surface of the dirt and let grass grow up thru. I even have wire under the dirt in the run. It's bent up at the sides and connected to the walls. You can see pics on my BYC page.
Good Luck and have fun!