Free will has absolutely nothing to do with children suffering and dying. If I were to suffer and die you could argue it was a result (karmic or otherwise) of choices I had made in my life, and free will could apply. In the case of a 6 month old baby, not so much.
No one exists in a bubble. It's not just your own choices that can impact what happens to you. The impacts of your choices and those of others are farther reaching that is even possible to quantify.
My point is that somewhere, a series of choices by flawed creatures has resulted in what occurs in the world, whether it is seen as good, bad, or in between. The fact that we are flawed creatures means bad things will happen. Sometimes those things happen to people we do not think "deserve" to have them happen, but that misses the point, as it's not up to us to determine who "deserves" what.
But why would G-d create a flawed species i.e. one that has the ability to do evil. It doesn't make any sense. If you were creating something, wouldn't you create it to be perfect, why create it to be flawed especially if it is supposed to be in your own image.
First, I can only assume you are deliberately misspelling the word "God". If that is the case, what agenda are you attempting to forward by doing so?
Second, the only perfect world would be one without free will, as then no one could choose to do evil. That also means no one could choose to love. No one could choose to obey because the act of obeying would be mandatory. No one could have any true devotion as a result.
So, assuming you had the power and ability, your choice is to create an army of robots who do exactly what you say all the time and never think for themselves and are therefore "perfect", or you can create a creature with free will that can choose to obey you or not and can make any number of other choices but as a result some wrong choices will make the creature suffer.
The point is there is a trade-off. Even God can't create a scenario whereby people are both robots who obey unquestionably and also have free will. The two concepts are diametrically opposed.
There are plenty of FACTS for those capable of critical thought.
Here you go standing on a pedestal again, effectively saying only those who agree with you are capable of critical thought.
Based on the physics of this universe, we know the decay rate of certain isotopes and can use those FACTS to determine their age and thus, the age of the planet.
Facts and theories are two different things. All too often people confuse the two, sometimes deliberately (as is often the case for the THEORY of evolution).
Facts can't be disputed. Theories are conclusions drawn from facts that CAN be disputed, and alternative theories CAN be formed based on the same set of facts.
Just because a theory is accepted by mainstream science doesn't make it magically turn into a fact.
Evolution and creation are both THEORIES on the origin of humans and other life. Neither is a fact.