But the past certainly exists
It existed. The past does not exist anymore. You can't show it to me
Here's a photo of two and a half million years ago -- it's the deepest we can see into the past with the naked eye:
or point me in any direction to find it.
Right ascension 00h 42m 44.3s
Declination +41° 16′ 9″
(Of course looking at the photo is looking a couple nanoseconds into the past. If you want to see 2.5 million years into the past you have to actually go outside at night and look up at the real thing.)
You merely have a religious faith it is out there existing somehow.
No, it's the other way around. You are the same as practically every other philosopher who thinks his philosophical reasoning from his armchair is a qualification to tell scientists how the world is: to wit, your philosophical reasoning is well-informed by all that is known of state-of-the-art 19th-century science. But you seem to have skipped out on your science class the day they covered
the entire 20th century.
We can see the Andromeda galaxy as it was 2.5 million years ago. If there's advanced life there, it can see the Milky Way as it was 2.5 million years ago. To suppose that we can see its past even though its past no longer exists, and to also suppose Andromedans can see our past even though our past no longer exists, is the same thing as supposing there is, in this universe,
absolute simultaneity. It is to suppose there's a privileged frame of reference, a universal clock, a "now" for the Milky Way tucked between our nonexistent past and our nonexistent future that sits in a state of perfect alignment with an identical "now" for the Andromeda galaxy, tucked between its nonexistent past and its nonexistent future.
What you are supposing is such a sensible thing to suppose -- such a perfectly intuitively reasonable picture of the universe -- that perhaps the smartest man who ever lived, Isaac Newton, took for granted that that's how reality is. But as far as we can tell from looking carefully at the universe, it's just wrong. The difference this makes to our observations is so subtle that it took an Albert Einstein to figure it out; but there appears to be no such thing as absolute simultaneity. If we assume "now" in the Milky Way is the only time that really exists, then what time is it in the slice of Andromeda that really exists, that isn't Andromeda's past or future? What, 2.5 million years after the light from Andromeda that you can see right now was emitted? 2.5 million years
in which frame of reference? Depending on exactly how fast you're moving toward Andromeda, different frame of reference, different answer, different time. That would mean that Andromeda has a moment in its past that doesn't exist any more
to you, but that exists
right now to your friend in Europe (or vice versa), since the rotation of the earth means he's moving toward Andromeda hundreds of miles per hour faster or slower than you are.
Since it doesn't make sense for one and the same thing to exist for your friend and not exist for you, it follows that your conviction that the past does not exist anymore is incompatible with the Theory of Relativity. If you nonetheless decide that you are right and Einstein is wrong, that takes religious faith, same as deciding the Bible is right and Darwin is wrong.