Well, I can say this: if you see a person traveling past you at a high speed (relative to yourself, of course), then you will observe them aging slower than you are. But that person will see you traveling past them at a high speed, and therefore they will see you aging slower than they are. It sounds strange but this is actually possible (and real) because there is no "absolute time" to fix one particular rate of aging that all others must be measured against.
As for stopping time... consider that person from the last paragraph. The closer they go to the speed of light, the slower you see them aging relative to you, so you would think that if they ever actually reached the speed of light, you would see them not aging at all. But it's impossible to actually reach the speed of light, so it's kind of a philosophical question, not a physical one.