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A baned weapon gets 2d6 additional damage. If I full attack, does each attack roll an additional 2d6?

Bane: A bane weapon excels against certain foes. Against a designated foe, the weapon's enhancement bonus is +2 better than its actual bonus. It also deals an extra 2d6 points of damage against the foe.

1. Does the +2 enhancement bonus give +2 to attack and damage against that enemy (like a Greatsword going to a +2 Greatsword) or is it just there for overcoming DR?

2. How do Inquisitors typically handle choosing which creature type to use Bane on? Is a Knowledge check/Detect Alignment necessary? If I'm fighting a Dragon, Fey, Animal, Undead etc. wouldn't it be fairly obvious what I'm fighting simply based on looking at the creature and thus avoiding the necessity of a check to choose the right type for Bane?

If I have DR 5/- and an enemy level 6 Fighter makes a full attack against me, which outcome is correct:

He hits me for 6 damage on the BAB +6 attack and 8 on the BAB +1 attack.

Outcome 1: I take 6 - 5 + 8 - 5 = 4 damage total

OR

Outcome 2: I take 6 + 8 - 5 = 9 damage total

Whichever outcome is correct, does it apply similarly to 2WF?