try converting that line into shape ( in the modify option )
It is currently a shape. The line I'm referring to is created dynamically using actionscript.
//----BLACK ROUND RECT BOX----//
var square:Sprite = new Sprite();
square.x = 87;
square.y = 35;
so the blurry edge is a shape or a line here? if its a line try adding the thickness of the line
also you can select the stroke, go to Properties panel and select "hinting"
Pixelhinting is just what I needed.