The photos are really tiny, so kind of hard to get a good grasp of the finish - for example, the photo of the front of the receiver and bottom of the barrel is entirely in shadow. You can't really see the serial numbers, if they match, or if there's a halo around the numbers on the barrel (there should be, I think). It also depends a bit on if the gun is marked "GERMANY" or "MADE IN GERMANY" anywhere, in english...that means it's a post-war (WWI) import. If there's no "GERMANY" then it might be a bringback...
What kind of eagle? A Nazi eagle? Eagle over N? Lots of eagles involved..
Edit - if it's actually correct and original, 1600 isn't a bad price IMO. It might fetch more on Gunbroker depending on originality, so on so forth. There's a lot of minutia on Lugers that I really don't know enough about...a few things on it make me give pause but mostly because I just don't know enough about Erfurts to know if the proofs are correct, the photos are low quality so I can't really see if it's been refinished and buffed, etc.