I doubt time travle is possible to many paradoxses.
There is something else you may have not considered, which would allow you to peer into the past. We tend to think of light as being the fastest traveling commodity in our universe. But in the grand scheme of things it is really quite slow. Consider the fact that our own galaxy is so vast that traveling at the speed of light for 50 years would only put us about a quarter of the way across our own galaxy’s diameter. And now consider that there are billions of other galaxies in our universe that are millions of light years from our galaxy. Some of which are much more larger than our own. That means that even if you could travel at the speed of light it would still take you millions of years to reach another galaxy.
Well the next time you are peering into the night sky and looking up at the stars, some of the dimmest (furthest) stars, think about how their light actually left from their galaxy long ago. Provided of course the universe is really 16 billion years old. So then it may even be possible that some of those stars you are looking at aren’t even there anymore. They may have long since supernova-ed into oblivion. What that means, is that in a sense, every time we look into a night sky we are actually seeing into the past over several millions of years ago (if old universe conjectures are true).
So theoretically its possible to view past events on earth as they actually happened. That would require the development of at least two highly advanced technologies. The first would be to develop some advanced telescope that allowed you to focus in on and view a circling planet around one of those stars. One that was so good that it could focus right in on rocks the size of a baseball on that distant planet. That would mean that the view you are receiving of that rock is not a current view of it, but rather a view of how that rock looked several million years ago. The actual rock, planet, and star that it is circling may not even be there anymore.
Second, somehow develop a means of space travel that was millions of times faster than the speed of light. Then if you were to put your "super telescope" on this "warp" rocket and shoot it out into space, millions of times faster than the speed of light, and focus it back on earth, you would be seeing the light from the earth of the past, not the current light. That means focusing in you could theoretically, depending on rather you went further out or closer in, you could witness the Greek and Persian war, watch the Mayflower land on Plymouth Rock, or see George Washington cross the Delaware river.
That's about as close as anyone could ever come to backwards time travel.