Correct.
The man's innocence is itself a fact. The evidence presented to the jury are also facts, but they are incidental ones: the man's innocence is a fact despite what the other facts suggest. The problem is that we only have the incidental ones, and we try to infer the salient fact: the man's guilty or innocence.
Again, you're conflating facts, scientific facts, and scientific theories.
On the contrary, the interpretation of the facts points to his guilt. The facts themselves are true (e.g., his fingerprints are on the gun), but they don't prove his guilt, they merely infer it. And, in this case, it is this inference that is false, not the facts themselves.
However, how can the man's innocence be established if the facts imply his guilt? Or are we taking it as a given?
As definition. The facts remain the same, but our definitions have changed. The fact remains that Pluto exists, but whether we deem it a planet or a trans-Neptunian object has changed. "There exist nine planets" and "There exist eight planets" are both true statements; it's just that the former uses the old definition of 'planet', and the latter uses the new definition. You're wrapping yourself up in semantics again.
On the contrary, 'faith' in facts is nothing of the sort: basing one's beliefs on the available data is subtantiation defined. There is no 'faith', beyond your word games.
The irony is stunning.