Why do we exist?
It's not a scientific question, but regardless you're begging the question. Before you can ask why we exist you have to establish a basis for thinking there is a reason in the first place. What makes you think that life has a reason?
What is death?
Absence of life (although, I appreciate, 'life' is a somewhat loosely defined term).
Is there a life after death?
If death is the absence of life, logically no.
Is there any creator or God or gods or other form of superior beings?
Maybe. Is there any evidence for one or more? Some, arguably. Is there good evidence? No. Does that evidence fit in any sort of rational framework? No.
Does life have any purpose and meaning?
Again, that's not a scientific question, but... maybe. Do we have any evidence for what that might be? Yes, arguably. Is it strong evidence? The plethora of interpretations of what it means to be alive and how to live our best lives suggests that it's not good enough to produce a consistent approach, so probably not.
Is there any absolute morality?
Again, not a scientific question. (Do people think there's an absolute morality would be a scientific question.) Maybe.
Why are there such major differences between circumstances in peoples lives?
Depending on how you choose to interpret it, perhaps not a scientific question either, but from a sociological point of view - cultural difference, tradition, greed, geography, history, climate, religion, human nature and a few smatterings of random chance.
I know....I know... Many of you think science has already answered some of these questions while others, according to you, are irrelevant!
No, I'll go out on a limb and say that I think I broadly speak for quite a few people here when I suggest that science hasn't answered very many of those, wouldn't claim to have, and wouldn't try to. They also wouldn't say that they are irrelevant.
You will now bring out your load of fallacies that you believe make such questions and arguments fallacious.
They aren't fallacious, they just aren't in the main about investigating observable phenomena, and are therefore outside of science's purview - as you said at the start, science has limitations in scope.
But the fact remains that science is increasingly dabbling in irrelevant and even dangerous areas of research while being nowhere near answering basic questions that are relevant and important to us.
That's one opinion, certainly.
Besides that, whatever evidence is actually there and which could answer some of these questions is quickly and scornfully dismissed.
And that's where the issue arises. You cite 'evidence' for some of these things, but they aren't evidentiary questions in the main.
Where is the hope for science?!
In the hope that we can investigate questions like 'why do people still mischaracterise science', and with a better sociological and psychological understanding get people to actually realise what science is, what its remit is, and then stop conflating science, materialism, atheism, scepticism and the like.
O.