@OP
To 1: If you rewound time and let it play out again the result would be different. Like you already said you are aware of quantum theory. But are you aware that the quantum theory actually works and affects not only subatomic particles but even atoms.
There are particle that arent just at one point but actually are at multiple points and were they really end up cant be said for sure. Also nuclear decay cant be predicted all those factors which are uncertain and play out sometimes differently will have a significant impact on the world if they are slightly different Billions of years ago.
Quantum theory is the best physical theory we have tested millions of times and never failed. A deterministic world seems unlikely but aslong as we dont have a perfect theory it cant be ruled out.
To 2: If quantum theory is right then no.
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