Are pauses in height growth exists? like can you stop growing for 4 months and then continue growing again?

Height is one of many variables in growth that can pause & restart. We look at the year, not monthly or quarterly growth to evaluate it. You have been given the best way to predict whether you have more growth potential, the wrist/hand x-ray bone age. All the other things you have asked about are of little value. Get the study, or accept its results if you did. Obsessing over this is a waste.