Just to avoid an confusion, what time are we talking about?
The time on our watches? So if we travelled at the speed of light would our watches second hand speed up - again this would not make sense as a mechanical clock is independent of the speed of your travel.
Or is the time relative to our biological clock? We would in effect age quicker. This again would not make sense as our biological clock is again independent of our travel speeds (speed it up & you die), and in nature is normally related to the number of times hearts beat (usually after about a billion & a half beats) for mammals.
Or is it only time relative to the universe - this makes sense to me, perhaps someone can clarify?
I was thinking about going in the future as in 2045 which is in future right now, or going back to the dinosaur era. So I assume I'm talking about the 3rd option you gave, time relative to the universe.