Hey Sakehand,
well, like you said the pictures are a bit hard to see. Check your camera to see if it has a macro mode. If you have a mode button or dial, the macro will be an icon of a flower. That sets the focal length to a shorter distance allowing you to get closer clear pictures.
So first thing that jumps out to me is that's the wrong book. The book is for a Crosswind Special, and the Crosswind hasn't been made in at least 3 years. It's also not in the same class (it's a Windrider, not Aeromarine), so the books wrong. The watch looks to be an Avenger.
Now, before I go into this let me say I am NOT an expert at spotting fakes. I also don't have an Avenger, so I'm comparing to the pictures I have in the Chronologs....
That said, here's the items that jump to me as suspicious.
1) I've never received a new Breitling with wrappers all around the watch. They've had a protective sticker on the crystal, a sticker on the back & maybe some bluish stickers on the bracelet face. Never a 'wrap' around the watch or bracelet. So that jumps out.
2) Is the numbers raised or painted on? All the Chrono Avengers I've seen are raised (applied) markers.
3) The book issue, wrong book
4) Bracelet. The bracelet is a Pro I, which hasn't been made in over a year. It's possible it was lying around a dealer as old stock, but its not the latest (which if it is authentic is a good thing. Many prefer the old Pro I to the newer Pro II)
5) the lume pearl on the bezel looks wrong. Is it raised or flat? It should be flat and slightly below the bezel.
So that's the thoughts I had. Again, I'm not saying it's not genuine, but those questions do come to mind. If you can get some macro pictures, that'll help.
Also, if you're worried about it being authentic take it in to a Breitling dealer & have them check it out. Preferably one with a Breitling watchmaker as they'll know better than the sales people.
At the very least you were given an old book for the wrong model. That fact is the one most troubling to me as the Crosswind hasn't been produced since at least '05 & I believe '04. Did your parents buy it at a store or online?