1. Does God have free will?
2. Are we made in His image?
Now THAT is an interesting question. Can God will Himself not to be good? Is God just because He has willed Himself to be just? In my estimation, these questions fall into the same category as "Can God make a rock so big He can't lift it?"
1. Does God have free will? Yes.
2. Are we made in His image? Yes.
Now, why would you attribute to man a free-will that God doesn't possess? In that, I mean, why would you think that man could possess a free-will to do that which he doesn't want to do, and which he is incapable of doing?
Can God sin? No, and He doesn't want to.
Can the unregenerate man please God? No, and he doesn't want to.
The unregenerate man is free to do exactly as he wants.