This is an issue upon which thousands of philosophers and religious figures have written about over the past 3,000+ years. To answer your questions, I'd first start by realizing the possible answers are vastly more complicated than your two options. I suggest a deep study plan of the history of religion and philosophy, including all world traditions (Chinese, Japanese, Indian subcontinent, Islamic, Christian, Western, and so on.)

Personally, I am drawn, in unequal parts, to Wittgenstein/the inherent limits of language, Nietzsche and Schopenhauer's concept of the will, mysticism, and Indian (Hindu, Buddhist, Jain) concepts of the universe. If I tried to answer your question briefly (but again, I don't think it's nearly that simple), I'd say something like: concepts like "exist", "created" and "god" are all wrapped up in language and a human perspective. Logic and mathematics are patterns viewed through human observation, not things-in-themselves. The idea that the universe is explainable via the extremely limited tool of empirical science seems hopelessly naive to me.