I don't know if Chanel labels their testers like that but it wouldn't surprise me if they did. The top of the cap where the Chanel Double C logo is seems to have some uneven painting... that looks most suspicious. Can you elaborate on where you purchased and why the bottle seems to have so many scratches? It would be hard to tell if it was a fake based on those pictures alone. How does it smell? Are you able to visit a department store to compare it? My guess would be its a real bottle that has been poorly cared for (which, as a tester, it could have been).
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It looks real to me EXCEPT for one thing. Mine says "made in France" on the bottom, and yours says "made is USA". This is a youtube video on how to spot fake chanels. This guy's also says "made in France on the bottom"