Yes, the first bag is without a doubt fake....and not a very good fake.
I would need to see the interior badge, engraved hardware (on strap), and made in China tag (located in the lining of the bag) to authenticate the second bag.
I can take a close-up pic og the interior badge, and the engraved hardware (on strap) where it says Alexander Wang, but I can´t see anything tag that says made in China???