Dysport Bruising Under Eye Normal? (photo)

It is not normal as it is considered a minor complication. The area around the eyes contain lots of blood vessels that you can't see so there is a higher bleeding rate.

As you mentioned, the under eye area is more prone to bruising than other treatment areas because the skin is so thin and vascular in this area.  Any unfortunate vessel that is injured during the injection will show up as a bruise.  There are little things you can do to minimize the risk of bruising with further treatments such as avoiding medications and foods that thin the blood at least a week prior to treatment, using Arnica/Bromalin, and holding pressure at the injection sites immediately after treatment to stop any bleeding before it has a chance to turn into a bruise.  

Of all the areas of the face that are treated cosmetically, the eye area is probably one of the areas to get the most bruising.  This is because there can be superficial blood vessels there as well as having thin skin in that area.  I can't really comment on the lines on your nose without knowing exactly where the Dysport was placed and how much was used.  It is possible that you may have some swelling from the bruise that could influence the lines temporarily.