A shutter is not expensive or hard to take down or replace. Go buy "a" shutter or let the neighbors help.
Depends on the house how it would look; the more rambler the house (long horizontally) the less-bad :-) it might look. A taller house though needs the "action" going on up there which plants around the foundation can help with a rambler.
Broken would look bad, people look for sameness for both "sides" just like they do for people's faces.
http://en.wikipedia.org/wiki/Symmetr...ttractiveness)