Are either creation and evolution able to be completely proven without any shread of faith involved and only with science?
Well, creation is not, because it's not a scientific proposition, but a supernatural one.
On the other hand, evolution can be and has been substantiated as well as any other scientific theory, like the Germ Theory of Disease or the Kinetic Theory of Gases. The evidence is pretty clear and no amount of faith is required; if you don't believe the conclusions of scientists you can examine the evidence yourself, repeat the tests, make the observations, do the experiments, and try to come up with a different theory.
None of your three definitions apply to evolution. Evolution is based on evidence, so 1 is out. As a scientific theory, it is held tentatively, subject to revision in the light of new evidence, which means that we don't have complete trust in it. So 4 is out. And scientists stand ready to discard the theory immediately in the face of disconfirming evidence or a better model, so we're not really "loyal" to it.
So, no. No faith is required to understand that evolution is, scientifically, the most accurate description of the history and diversity of life on Earth. Keep in mind, though, that's all it describes. The Big Bang has nothing to do with evolution.
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