This area will need the wood replaced to be able to reattach the shingles that came off with the gutters.  This chimney will need to be reflashed also.  This was probably the original cause of this issue of the rotten boards.

This area will be needing the soffit replaced as it was torn down when the gutters fell.

This is what a new vinyl soffit and gutter would look like.  It may not be in the budget to replace all the soffits on this home.  In which case we will add back new plywood soffit to match.

The entire length of the back of the house will need new fascia boards to be able to attach the new gutters.

About 41 feet of new gutters will need to be installed as the old ones will not be reusable. They sustained too much damage in the fall.