Hard to tell from the photo but it looks like the tension screw (the little screw) is pushing your axle forward. Which could be why you can't get it to stay/sit in the back of the drop out.
Try unscrewing it and see if that does any good?
If not, Sheldon usually helps.
http://www.sheldonbrown.com/fixed-conversion.html
@Archi_Pelago started
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Hard to tell from the photo but it looks like the tension screw (the little screw) is pushing your axle forward. Which could be why you can't get it to stay/sit in the back of the drop out.
Try unscrewing it and see if that does any good?
If not, Sheldon usually helps.
http://www.sheldonbrown.com/fixed-conversion.html