I never used the line of site tutorial, (yet) so someone who has used it may sort out some of the problems with that.
But just a quick look changing event 3 to be "For Each" enemy (under system) seemed to fix the lines connecting to the right ememy...
Edit: Oh, just noticed I could shoot, shot one and saw it left the line of site sprite.
Add an event so if a line isn't pinned destroy it. Like event 5 in the image.
<img src="https://dl.dropbox.com/u/85412219/forumposts/ninja.png" border="0" />
Ok, looking a little more, I think I see one conflict, event 12, (13 if you aready added the destroy line event above.)
12. IF player is overlapping a Line, AND any of those lines are not on a wall.
It is possible for the player to be overlapping more than one line, and only one has to be clear of the wall.