I. A. Rule 10.1 and Timetable 2 Item 10 rule 10.1
II. B, the Old Siding at Hodge is not a siding at all and CTC is not in effect on this track so you don't need dispatcher authority to enter it from the spur track.
III. B, Rule 9.10 Diagram A.
IV. B, Rule 9.10 Diagram A, until the leading trucks pass the next signal.
V. B, Rule 9.10 Diagram B