The Cask of Amontillado is a revenge story in which a man called Montresor wants to murder Fortunato. The main conflict in the story is between Montresor and Fortunato and how the first one wants to avoid being caught for commiting murder. This is the reason why the type of conflict is person vs. Person.
In Dulce et Decorum Est, hags is used to describe young soldiers. The simile 'coughing like hags' was used because the young soldiers went into battle strong and full of life. After battle, they returned looking aged and beat down - hence 'hags' or resembling beggars.