Never saw this type of crown molding type plastic material above windows before.Regular vinyl siding had moisture resistant wrap (tyvek) .
Note the rust stains as these were all over with this are possibly caused from non galvanized fasteners at the old coping which was just replaced (sheet metal) .
Does this look like a proper install at top of the windows ?
Door framing had same plastic decorative molding and wood was rotted at the bottom sides .Again crown molding was plastic.
Lot of other issues I am aware .