If the fork in the picture with the string has the steerer positioned vertically, and if the fork crown is properly positioned with the respect to the steerer and if the fork ends are properly spaced and aligned square with each other, then both fork ends need to move to the right (to the left side of the bike with the fork installed.) Look at
this thread for a discussion along with a couple photos of the "proper" tool to use to evaluate the fork's alignment. Essentially, you have to locate the positions of the two fork ends in space with respect to the steerer and then reposition them, by bending the fork blades, so everything is spaced properly and symmetrically. If you look at the photos in that thread, you can see what the tool does and you may be able to accomplish the same thing without it.
Of course I don't know for sure, but it appears that fork got somehow bent on one or both sides resulting in the distance between the dropouts being 90 mm. Then, it was bent again when the spacing was corrected. The result is that the blades appear to be improperly bent. The thing to do, in my opinion, is to get them bent back rather than to start removing metal -- which is a one way operation.