Enemies attempting to attack you or cast spells at you must select from among indistinguishable targets. Generally, roll randomly to see whether the selected target is real or a figment. Any successful attack against an image destroys it. An image’s AC is 10 + your size modifier + your Dex modifier.
Not only does the initial language suggest that the selection happens first, but the figments have their own AC. That seems to me to imply that the order is: select target -> roll to hit -> roll miss chance, though the last two could probly be swapped with no effect.
Definitely that. Technically, I think you're supposed to, RAW, roll miss chances after the attack roll, but there are very few cases where it would matter, mostly for those few rerolls and action point things where you're supposed to declare it before the DM calls it a success or failure, so who cares. You certainly select your target (which of the caster and the various mirror images you're attacking) first, though.
Note that since the images are not, themselves, the caster (only appearing like him), they don't have his abilities or buffs, so some miss chances would not apply to them. I'm not sure I agree with the FAQ on whether purely visual miss chance effects like Blur and Displacement should apply (if you hit an illusion of an illusion-enhanced image, you're still hitting the illusion), but it's certainly reasonable. Likewise, Blink should work fine (50% of the time the caster just plain isn't there, so neither should the illusions), but miss chances based on reactive sorts of effects (can't think of any off hand except homebrew) shouldn't function.