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I kind of have a hard time following what you are proposing, but I think you are saying you want to take the bad paper, remove the silver from the paper with fixer, and then you want to put the silver back into the paper using electrolysis.
It's that last step that will not happen. I assume you think that electrolysis will create silver metal, which you think will react with the sodium chloride that you've added to the fixer solution - and then the sodium will be left behind as free metal?
That's not going to happen - remember that the sodium in the sodium chloride is ionic sodium. It's in solution and it will stay in solution. If you drop out the chloride ions from the solution with the silver, you still have the ionic sodiums floating around. I thint what they will probably do is start raising the pH of the solution.
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you seem to have misread the thought (I can see why, I am not very good at wording things sometimes), I thought about taking the silver as a cathode and use a salt anode (the chem teacher here has one, I would use the hydrogen b/c I can then make one, but that would produce HCl acid) and using electricity, cause the single displacement reaction:
Ag(s) + NaCl(aq) --> Na+ (s) + AgCl(aq)
but that would be dangerous...
also, I do not have in mind financial benefits, but I hope to A) safely dispose of my spent fixer B) make use of the ruined paper some how, and I have been doing projects in making my own emulsions, and I thought I might find a way around using silver nitrate since it is hard to get a hold of and not something I would want to sit in my house for a long time C) learn more about electrolytic solutions of metal salts
also, I think that if the unaltered (though exposed) silver chloride were lifted from the paper, and put into an aqueous solution, the ions (having broken apart into Ag+ and Cl- [or Br- etc] would lose the effects of having been activated, at least if a current was used with a sacrificial anode (the cathode would also be silver, but after noticeable changes to the anode and cathode, the current would be reversed)
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