No. It supports a byte-level comparison to the baseline you recorded. Authenticity and truth require separate provenance and source assessment.
Annotations, OCR, bookmarks, and re-saving can change bytes. Keep that derivative separate and record its relationship to the original.
Record the exact algorithm used; SHA-256 is a common practical choice. Comparisons must use the same algorithm and complete value.
Not without further evidence. First check file identity, version history, intentional edits, transfer problems, and the comparison method.
No. A hash is one integrity tool, not a complete record of who controlled a file or a legal evidentiary conclusion.