OK, first of all you need to know how much space is needed per chicken. The average rule is 4 sq feet per bird in the coop and 10 sq feet per bird in the run. Are you talking about just having a 4x8 run underneath the coop? If that is the case you only have room for 3 chickens, unless they are going to be bantams. Chickens require space and room or they can become very stressed and start pecking each other...to the point of drawing blood! I hate to see people advertise tiny chicken tractors that should hold no more than 2 or 3 birds as being big enough for 8-10.
Second of all, get rid of the chicken wire on the front of the coop and put heavy duty hardware cloth or 1x2 welded wire on it. Chicken wire will not keep out any predators, it only keeps chickens in! Raccoons, opossums, and even skunks can rip through chicken wire like paper, not to mention dogs. Another consideration is where the coop will be located. What is your climate like? It should not be sitting out in the sun all the time, as chickens don't deal with extreme heat very well. They can take cold very well, but not heat.
Last but not least...before you get your chicks/chickens, read, read, read! This website is a treasure trove of information! Use it! You also need to think about where you will have your feeder, it needs to be protected from weather so your feed doesn't get wet and spoil. Check out the coop design pages, and look at the pictures. You can get great ideas for your coop and run by looking at others. Also, if you have any questions concerning a particular issue, type it into the search box on the home page and it will bring up past discussions on that subject. You can learn a lot from other people's mistakes!
You have a great start to a chicken coop and run, it just needs some modifications to make it a great coop. Like a 2x4 roost pole (for full size chickens) as chickens don't grip with their feet as well as other birds and it also helps to keep their feet warm in winter if they are flat. Some way to clean it out periodically is also a consideration. Well, the list goes on...so check out this site for all the info you can find! Good luck!