Do you not see the actions that are beyond the control of man as a sign of the existence of The Creator who is causing all these actions to happen?
From what I can see, both natural disasters (earthquakes etc) and diseases have causes that we can determine in physics, biology or the relevant science. Where there are gaps, it seems reasonable to expect they will one day be filled, as they have done in the past.
They may be a God, but even if there is I still don't see why we should attach moral significance to natural disasters.
For instance, you might obviously say that STDs such as syphilis are the judgement of God for too many sexual partners. But I would see it simply as a reflection of the fact that disease takes every opportunity to fill every niche, and every form of contact. Disease is morally blind. You might as well say that meningitis is a judgement on too many creches.
A great many diseases jumped species from animals many thousands of years ago, through close proximity with humans when we began farming. Many of our worst diseases are, to a large extent, the direct consequence of agriculture. As hunter gatherers we suffered from a fraction of the diseases we have now and widespread transmission was difficult.
That's not morality - it's a reflection of the natural laws of contagion.
Today, the highest death rates from disease or natural disasters are mostly connected with poverty. AIDS might damage a western society, but it wipes out African communities because of poverty. The Haiti earthquake killed vast numbers because of poor building construction and other factors of poverty or bad government.
Therefore, if you measure things by disasters, then it would seem that to be poor is to be immoral. That can't be right and it conflicts with religion in other ways as I'm sure you'll agree.
So, these events are not moral events.