Sadly, you CAN'T CHANGE the past via time travel! HERE'S why...-->
Take a trip back in time, why not? See the great events (or tragedies) live, see famous people etc. BUT you can never change anything, even if you tried.
Example? Why wouldn't you want to go back to 1912 and tell the Captain of the TITANIC to watch out for icebergs especially during the evening of April 14?
Even if you built your time machine and are already sitting in it (maybe it looks a bit like a one-person sleigh with a big metal plate rotating at the rear end and a comfy leather chair^^), ready and eager for the trip, shaking my hand, saying, "Wish me good luck!", I would just say:
"You can get out, you didn't achieve your goal." You would answer, "Hey, I haven't gone back yet, I'm just on my way. How can you say I will not be successful?"
"Well", I would reply, showing him the Wikipedia page plus many books and articles about the TITANIC disaster and also waving the BluRay of a certain movie made in 1997, "because you obviously failed in preventing it. We all know it happened. See all this here?!"
Perplexed, you then say, "But wait, maybe others will build their own time machines and go back next year or in five years to prevent it. Maybe they will be successful! What about them?" I could only reply:
"They also failed. And I say 'failed' and not 'will fail' because even if they haven't yet gone on their journey (maybe they haven't even been born yet), they already failed because we know it happened. The physical and printed evidence is on the table and in our collective minds. Regardless of their time machine's departure point back to 1912, be it you just now or another yet-to-be-born person in 30 years from now, you all would go back to a point that is, as you can see by looking at a calendar, over 100 years past already. It happened BECAUSE APPARENTLY, NOBODY CHANGED IT."
I'd add, "But do go back and see it depart. Shed a tear for all those on board seeking a better future in the USA. But you can't prevent it from happening. Warn poor Cpt. Smith as much as you want, but something else will happen then, maybe a heart attack or something. But THE TITANIC SANK and always WILL HAVE SUNK."
(If you want further input into that direction, read Stephen King's excellent novel 11/22/63 for that matter about time heavily resisting being altered.)
And that's it, folks, plain and simple. Everything that ever happened happened because nobody changed it because it did happen in the past as we can readily see and watch and read about here in the present.
And while we're at it, if you enjoy fukking your mind up with a thing similar (and much more in the general realm of possibility) to time travel, which is time dilatation, i.e. stretching or squeezing time (and space) in the space-time continuum, read Stephen King's frighteningly good short story THE JAUNT (from his "Skeleton Crew" anthology book), ***this information really won't spoil the fun of reading it!*** where people can make a trip to Mars very fast and easily by essentially moving through a machine, going in one end and exiting the other in practically no-time – only one condition: you have to be asleep… since if in the space-time continuum you squeeze space to basically zero (instantaneous exit on Mars), then in order to maintain the balance… The rest is a devastating and shocking story, one of King's absolute best IMHO, sure to give you nightmares and food for thought long after you've read it.
And just two other essential viewing tips:
2014's INTERSTELLAR – THE single best SF movie about the effects of time dilatation ever! (Most of you will have seen it but nevertheless)
2018's DURANTE LA TORMENTA /engl. title MIRAGE!!!
https://www.imdb.com/title/tt6908274/reference
Thanks for reading!