One thing about time travel that I always like to think about:
"Can you see yourself in the future?"
I believe it to be a no.
It is not possible to see yourself in the future via time-travel. By time-traveling, you left the timezone and did not come back till the future, so you basically do not exist in that gap.
It's like a vacation from life for the people that knew you.
"Can you see yourself in the past?"
This is possible, but whether or not a form of paradox or bad chain-reaction would happen is unsure.
Considering you are still in the timezone in the past it would be possible to go back in time and see it happen again.