Take about a 3 inch piece of an old wire coat hanger, or a nail, or any similar stiff piece of wire type material that is about the same diameter as those two holes in the screw, and then bend that 3 inch piece of coat hanger exactly in half so that the ends are even with each other and the same distance apart as those two holes in the screw, You should then be able to hold the now "U" or "V" shaped piece of hanger in your finger while you put the two ends into the two holes in the screw and remove it.
If the screw is tight and you can't use enough twisting force with your fingers to remove it, then hold the wire in a pair of pliers and twist with that, just make sure both sides/pieces of wire are in the jaws of the pliers.
If the piece of wire coat hanger or nail or whatever you used is just slightly too large in diameter for the holes in the screw, twist each end of the hanger wire in a piece of sand paper held between your fingers to take down each of the two ends to the proper diameter before you bend it in half.
As Vorpal Cue noted above, two nails of the appropriate diameter driven through a board at about the correct spacing from each other to match the holes in that screw should also work just fine, and just bend them slightly to get them spaced correctly. Once you have them in the board just use a hack saw or a wire cutter to remove the points of the nails and also to make sure that the ends are even with each other. Use sand paper or a fine file to touch up those ends if the wire cutter flattens them out a bit or otherwise damages them to where they no longer fit in the holes.
