I'm not a fan of back and shoulder hair, despite my husband looking like he's wearing a ginger fur coat.
As for shaving or not, I say NO.
If you want to have a clean look, then use a hair remover cream if you can. Do a safety test before going crazy.
Shaving will cause in-grown hairs and skin irritation. You will need to use a new blade and may have to change blades depending on how much and how course the hair is.