There is a condition called paroxysmal finger haematoma (or Achenbach's Syndrome) in which little blood vessels in the fingers burst without any visible cause. It is considered harmless, although it looks scary. I have personal experience with it.
http://www.google.com/search?hl=en&source=hp&biw=1101&bih=708&q=paroxysmal+finger+haematoma&aq=f&aqi=g1&aql=f&oq=&gs_rfai=CBc-wdg39TP-GGJrUNJrinZoLAAAAqgQFT9CKbjk
I have never read that this is related to black and blue eyelids, though, so seeing your GP is a prudent idea, as Dr. Hagen says.
1. See your personal physician to see if you have a bleeding disorder.
JCH MD