Would that mean God is a byproduct of evolution? I suggest you read Isaac Asimov's short story The Last Question.
I've not yet made fifteen posts so I can't provide a link. Google it!
I couldn't hazard a guess for the initial intention of existence. Honestly, I don't really know why evil exists. I'll stand by my earlier statement. Try explaining color to someone born blind, or music to someone born deaf. I agree that in a strange world where evil did not exist than good...
No, despite possible malicious intent on your part. The child will not be pumped with deadly bee venom because it's a wasp. As for God? If God is the cause for existence, that includes evil with all the rest. How else would we know good without evil?