Satisfaction of any self-authentication method contained in Rule 902 does not guarantee genuineness. Consequently, nothing in Rule 902 is intended to preclude the offering partys opponent from disputing authenticity. Any document or record offered under Rule 902 must satisfy other evidentiary concerns, such as the hearsay rule and the best evidence rule. See, e.g., Ala.R.Evid. 803(8) (public records exception to the hearsay rule); Ala.R.Evid. 1005 (public records exception to the best evidence rule).
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If the court accepted what Hawaii offered as evidence, then the appeal can cover if the trial judge exceeded his authority in doing so. If it rules the trial judge exceeded his authority in allowing the evidence, they could then decide if that would have changed the outcome of the trial.
But no, a court of appeals (such as a state supreme court) will not take in new evidence. That is not what appeals courts do.
And a trial judge does have latitude in what is accepted or not, depending on a variety of factors. One would think that after a hundred cases or so, birthers would have figured out you can’t just go to court and demand to see anything you want to see...