To support the Big Bang Theory, the two correct statements from your list are:
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The ratios of hydrogen and helium in the universe match those in the early universe - This observation supports the Big Bang nucleosynthesis model, which predicts the amounts of light elements produced in the first few minutes after the Big Bang.
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The universe began as a very high density singularity - This is a foundational aspect of the Big Bang Theory, which posits that the universe started from an extremely hot and dense state and has been expanding since.
The other statements (about galaxies colliding and dark matter) do not directly support the core concepts of the Big Bang Theory in the same way.