I'm 5'2 and i weigh 120lbs is it healthy?or should i lose weight?

It isn't that bad: Without an actual examination, I cannot give specific medical advice on your particular health, specifically measurements of fat. At that weight you certainly do not Need to lose weight. You are within a few pounds of ideal weight. But without an exam I can't say if you are a bit over OR even a bit UNDER weight (zero body fat, and moderate muscle would be under-weight; guys would definitley be so)