I ain't sure as to whether it's normal. But I'm an agnostic, since then I invented my own way of life: self-transformation (changing your life, and changing yourself to be back to your original nature), it's not spirituality, but some meditation is necessary for true agnosticism, plus miracles do happen, I can't describe it, but I swear I was once in a perfect place of angels beyond my imagination, I find this profound, higher than the heavens of earth. I'm not sure there is God, but I detect, look for clues and get to the bottom of this. I find self-transformation profound. And my life has meaning, is profound, but secular, is that normal?

Yeah, it sounds like you're grasping at straws. Which is normal. Attaching terms like "profundity" to the concept of being "secular" is not normal according to the most asshole-ish of Atheists (who won't hesitate to call you their "lost children"). But, not understanding anything about the universe and feeling blessed nonetheless is perfectly normal.
I want you to try an experiment that will validate your feelings of profundity. Look up at the night sky in a city. Drive to a secluded area. Look up at the night sky. There you go.