I apologize for my late response but I have a lot going on in real life and didn't have time to look at this listing as carefully as I wanted to until now.
I believe that the bag is authentic and as Hyacinth commented, it looks like Coach made some creed changes on this bag, accounting for differences between those made in April and those made in July.
I had one heck of a time finding any bags made in May or June of 2012 but finally, was able to find one listing showing a creed indicating a June manufacture with a line under the o in N
o. indicating that the change in format seems to have come in July of that year.
This image is the unedited (and hard to read) creed.
This is the same creed, enhanced and sharpened.