1. The observable cosmos is 13.6 billion years old and has evolved into its present form
2. The earth is 4.6 billion years old and along with the rest of the solar system formed under gravity from a cloud of dust and gas in space.
Those are scientific beliefs, working hypotheses based on the best available astrophysical evidence. They aren't absolute truths or divinely-revealed authority. They needn't be (and shouldn't be) believed uncritically. They are human and fallible, our best current approximations to whatever the real facts are, which we can't be 100% certain about. Maybe in 100 years science will accept different numbers, for reasons that aren't known yet. When discussing science, it's always best to remain a fallibilist.
3. There is no evidence that any consciousness can function without a living, physical brain.
Before we can say that, we have to be clearer about what we mean by 'consciousness'. I'm inclined to think of consciousness functionally as a peculiar kind of self-reflexive data processing activity, and not as an ontological substance. Conceived that way, it would seem to need some kind of substrate that can perform the necessary activity. In our hugely limited experience (a tiny slice of time on one planet), it appears that nervous systems can perform these actions, and (perhaps arguably) computers of a suitable sort. Who knows what other possibilities exist out there in the wider universe? (In the philosophy of mind, that idea is called multirealizability).
4. Humans and chimpanzees have a common ancestor, and we split off from that ancestor six million years ago in Africa.
Again, that's what current science believes. But science just hypothesizes (makes educated guesses) and looks for evidence consistent with those speculations. So it mustn't be treated as if it was some kind of replacement divine revelation.
I'm inclined to think that
all life on Earth has a common ancester. Or ancestral type at least, called LUCA for 'last universal common ancestor'. So all existing life on Earth is (on this view) literally family, if we go back far enough in our family trees. That thought helps me love all life, since when I look out my window and see a tree, I can reasonably think that the tree is a very distant relative of mine, flesh (or cells at least) of my flesh, so to speak.
5. Prehistoric religion goes back at least thirty thousand years.
Probably a lot farther than that. But eventually religion becomes indistinguishable from magic and all of it is just part of how these very early people thought of the reality around them. It was only comparatively recently that "religion" split off and became a separate category of human life. Before that, what we think of as 'religion' was part of human life, mixed up inextricably in how they conceived of things.
6. Historic religion started about five thousand years ago in Mesopotamia and Egypt.
Maybe
7. The oldest religion practiced today is Hinduism.
Hindus believe that, but I'm inclined to disagree. I'm inclined to see Hinduism as a gradual synthesis of multiple inputs, ranging from indigenous pre-Vedic beliefs, the Vedas, the Sramana movements, and all kinds of proto-philosophical speculations, that didn't really come together in the forms we see today until the Gupta period and even later. It's still evolving right now.
8. The creation stories in Genesis 1-2 are taken from Babylonian mythology.
The creation stories were clearly influenced by preexisting ideas. I think that the creation stories were kind of "common knowledge" at the time, widely shared across a broad area by peoples who worshipped different gods. The early Hebrews simply adopted this common heritage and retold it as the actions of their god.
9. No religious or spiritual healer has ever been proved to have genuine healing powers although many of them have been exposed as frauds.
That depends on what kind of healing we are talking about. Physical healing, perhaps not so much. But religious and spiritual healing has great value when problems are psychological. While I would leave the major psychoses to the psychiatrists, since I'm inclined to see those problems as neurophysiological in origin, if I had a less severe psychological complaint (existential angst or all sorts of subjective suffering) I would probably consult the Buddhist monks before I'd go to a clinical psychologist or other mental health professional.