Can anyone explain why, in a rapidly changing world, we need "absolute" and "eternal" morality?
We don't. The argument in the post is trying to solve the problem of protecting whatever current values you happen to have (and the values that your past selves happened to have, if you care about them), not the problem of finding absolute eternal values (whatever that means).
I just had a long conversation with my brother, a devout Christian. With my help he has outlined the following argument why it might be good for me to follow Christian deontology:
What do you think?