Time travel raises some questions which are hard to get your mind around. I have been to the future and seen that there are no beagle prime ministers until at least 2323. Does this mean that the Dughallmor Beagles need to give up on their dream of being prime minister? If the answer is yes, that means that the future is set and we are just going along for the ride. What about free will? The answer is that the future is not set and we do have free will. But I have been to the future. One answer is that there are many worlds. So there is a future where one of the Dughallmor Beagles is PM. (I wonder which one?) So we have complete free will to create our own reality.
I think our concept of time changes things. "Time Travel for Beginners" by Mary and John Gribbin explains how time is the fourth dimension. The past, present and future all exist at the same time. We move along time like we move through space. We are in the present the same way that we are here. I did not meet any other time travellers on my journey but the future hounds treated me like we would someone from Chile, China or Cameroon. Another traveller from an exotic far away place or time.
If you are completely baffled, confused and bewildered, I'm not surprised as I am too. I am new to time travel.
Life is great when it is a mystery.