Well, in her case they are just flat painted on - no special effects or anything in those tears. If you want something more three dimensional you can either go to a high end art supply store and get some acrylic medium that is made to add dimensionality to paint, mix it in and use that. Or if you want to stay cheap and easily removeable you can use Elmer's glue to create the tear and then paint over it.
The blood smudge on her cheek was probabyl done by getting a very very very light amount of paint on a sponge (preferably not a dish sponge or one that comes with soap in it) or textured cloth, daub most of the paint off and when it's nearly dry create the smudge on the cheek.