IDEAL Singh, your thesis contains so many errors of logic that it is laughable.
First of all, if you want to define existence as "God" that is fine by me, since of course it is the "existence" of the universe that provided the conditions in which human life could evolve.
But you cannot change horses in mid-stream and pretend that you have now also proven the existence of a
personal God who has any of the attributes commonly assigned to him by mythology.
There is no Law inherent in the universe as we know it that says God cannot be evil. That is nothing more than wishful thinking.
What force could prevent a God from designing hideous parasites, diseases, defects, greed and lusts that would cause his creations to prey upon each other? Who could prevent him from flooding a world and killing innocent babies? What if he found it amusing to watch his priests abuse his altar boys?
You list a number of frequently posted but false dichotomies:
Of course good can exist without evil. People could have absolute freedom to do anything they liked, but freely to choose not to harm each other. But people who have been inflicted
by their "creator" with mental defects, irresistible cravings and lusts but have not been endowed with the character traits that allow them to resist, do not really have the freedom
NOT to act on their desires.
Of course light can and does exist without darkness. The only way you can "remove" darkness is to
add light (which is nothing more than photons of certain frequencies), not the other way around. There are always photons around even when they are not in the visible spectrum (CMBR) so there is no true darkness anywhere in the universe. A universe could be
completely filled with visible light, if it had no objects to block the light of its stars and create shadows.
You can only remove cold by adding heat. Temperature is a measure of how fast molecules are vibrating due to energy content. Even at Absolute Zero, there is still a small amount of vibration because of Heisman's Uncertainty Principle.
Yes, of course there can be life without death, females without males. The
original single-celled life forms that reproduce by splitting are still alive. Each one has a chain of existence stretching back 3.5 billion years, unbroken by death. A number of species of animals have done away with males and now reproduce by parthenogenesis.
If we could eliminate the biological processes that cause aging, we could have eternal youth. The trade off might be a higher cancer rate.
I can easily imagine a beautiful world without ugliness. Why can't you?
I do not know if we were created with a purpose. I only know that I find meaning in my own life without a need to believe in supernatural beings.