In response to the "difference between a hanging and a suicide", there's some things that are missing:

1. The "ligature burn" profile on the victim's neck for a murder disguised as a suicide is actually different from an actual suicide.

Trivia: This distinction actually shows up in Danganronpa 2 during the 3rd Class Trial (dear lord that one is CREEPY). It's commentary from Chihaki Namani.

1. There's also something to look for in the victim's eyes in a ligature murder. An unusual apperance in their eyes (regards blood vessels).

This is why Chris Cornell's

body was so quick to be destroyed.