I did a search for answers to your Questions.
Superior Blackpowder LRB: “There is enough superior blackpowder to last for one game.”
Healing herbs LRB: “This restores all wounds he has previously lost during the game” I have searched the LRB, both Rules Reviews, Annual FAQ, and every TC. I can not find any Q/A about if Healing Herbs are single use and need to be replaced or like a Lucky Charm and once per game. My suggestion would be to House Rules this for your group. Personally, I can see it either way.
Hunting arrows Annual 2002 FAQ: “Question: when you buy Hunting Arrows, are they for one battle, for a campaign or are there a number of arrows (like 20). Answer: They last for the whole campaign.”
Hope this helps.