I am NOT a psychologist, but we might share the same type of personality: Empathetic.
My advice is to seek professional advice. Do not try and hold your emotions inside of yourself! Speaking from personal experience, a truly sensitive, honest individual who “holds in” their emotions will manifest other physical illnesses. Like high blood pressure. I have measured this in real time! It certainly isn’t “normal” to cry and be “so sensitive”, but it is probably a great and rather precious rare gift to understand, and Develop this gift by seeking professional help. I do hope you find happiness in your journey.