That's precisely why you start with fine and get coarser, at least for someone who doesn't do the job everyday. Once it's hit with coarse grit, you are committed.
As for crazing, my only experience is with acrylic windshields. In that instance, it was due to a combination of stress, wrong sealant (mineral oil-based is bad), cleaning with organic solvent based cleaners, and exposure to sunlight. It was not not a coating and was not removed appreciably by polishing. A picture at the outset would have helped.