Does God exist?
Depends on what you mean by God.
1. None.
2. no
3. Yes
4. Desire to learn
God is objective morality. A body of science.
Just like animals can have flashes of "comprehension" of physics, mathematics, morality, proper behavior (for their society), etc, we humans can have flashes of understanding of "God."
God is related to Love.
Objective morality is discoverable, but not in its totality. It may be approached but never reached. Just like we will never finish discovering new scientific information.
People, humans, have a tendency to anthropomorphize (to see something in terms of their own image) things. In this case, God is the anthropomorphization of "Love." Love is great and terrible. That is, awesome; awe-inspiring.
To actually meet with Love is to die to the flesh.
Evolution equipped us with Pride, Greed, Lust, Envy, Gluttony, etc... it's in our DNA. We evolved among small tribes who killed one another and raped each other's women, enslaved each other, etc.
Religion is systematic, structured, and compels people into relationships with each other (preacher, congregation, bishop, scholar, etc.)
Your belief in God is its own evidence. The belief itself is supposed to transform you and help you.
Trying to prove God exists is "doing it ass-backwards."
Either believe, and try that experiment with yourself, or don't.