The unpredictability of a die roll or coin flip is not due to any inherent physical property of the objects; it is simply due to lack of information. Even with quantum uncertainty, you could predict the result of a coin flip or die roll with high accuracy if you had precise enough measurements of the initial conditions.
That is quite debatable. For one thing, it is possible to for quantum indeterminism, if there is any, to leak into the macroscopic world. Even if it were not possible, there is still the issue of microscopic indeterminism. You cannot prove that there is no objective indeterminism (ie that the universe is deterministic) just by performing an armchair examination of human reasoning about probability. You have to take the physics into account as well. It appears to be standard round here to assert the Many Worlds interpretation, and to assert it as deterministic. That is debatable as well, since there are problems with MWI and it is not the only no-collapse interpretation
That is quite debatable. For one thing, it is possible to for quantum indeterminism, if there is any, to leak into the macroscopic world. Even if it were not possible, there is still the issue of microscopic indeterminism. You cannot prove that there is no objective indeterminism (ie that the universe is deterministic) just by performing an armchair examination of human reasoning about probability. You have to take the physics into account as well. It appears to be standard round here to assert the Many Worlds interpretation, and to assert it as deterministic. That is debatable as well, since there are problems with MWI and it is not the only no-collapse interpretation