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The number of attacks you can make in a round is not constricted by BAB alone, but by a combination of BAB and the number of "hands" of action you can exert. Without feats, a normal level 1 human can exert 2 hands worth of action per round. At BAB +6, they get an extra main hand action. Imp Two Weapon Fighting gives you an extra offhand action. Certain traits, feats, or items can add a bite or gore attack.
Octopi get the number of attacks they do because they have 8 "hands" and a bite attack. I don't agree that they would also get the 2 unarmed attacks, but I'd have to look into it more. And if they did, all of their natural attacks would be secondary and at a -5.
You're implying that simply buying a 15g item gives you an extra attack on top of all of the normal "hands" worth of action you get. That's insane.