What is the name of this manga involving spirits?
This is Totsugami (MAL-link):


  Narukami Tasuku isn't just an average high schooler. He can see ghosts
  and demons, even though he doesn't want to. One day he was involved in
  an incident and found out that his family were totsugamimori, ones who
  protect the totsugamizuka. He is the only one remaining in his family
  and now, as a heir of totsugamimori, he was dragged into that world...




The siblings fighting with spirit weasels are: Takaomi Kozuka and his family.