For the coop, did you measure that with or without the nestboxes?
The run works out to 19 square feet.
The coop measurements you give work out to 12.5 square feet.
But if you have to subtract nestboxes, it would probably be closer to 9 square feet.
That coop & run would probably work for 3 bantam hens, but not 3 standard size hens. And even bantams would be happier with more space, although I think they could be OK in that.
Many people shut their chickens into the coop section at night, to keep them a little safer from predators. If you try to do that in Georgia, with that chicken coop, you might end up with roasted chickens! It looks like it would get hot in the sun, and I do not see any windows or other way to let much heat out and fresh air in.
If it is possible to remove the solid wall between the coop and run, that would provide enough ventilation to make the inside of the coop section much nicer.
I would probably add a perch in the run area, and the chickens might prefer to sleep there at night, especially in the summer.
Of course both of those modifications will only work if the run is predator proof. The roof & sides are probably secure enough, but predators might dig underneath. So you should plan on either putting it on something solid (like concrete or paving stones), or adding electric fence wire around the outside of the coop, or attaching a wire apron around the coop. (A wire apron is a piece of hardware cloth or wire fencing attached to the coop, and laying outward on the ground in all directions. Predators usually try to dig right next to the side of the coop, so this covers the areas where they would try to start their holes.)