Assuming both monsters survive the first attack, yes, Cyber Twin Dragon can declare its second attack against the same monster.
So if the opponent had an attack position Spirit Reaper, you could attack it twice. It would not die, but the opponent would take battle damage to his lifepoints twice.
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No it can not. "Cyber Dragon" + "Cyber Dragon" + "Cyber Dragon" A Fusion Summon of this card can only be conducted with the above Fusion Material Monsters. During battle between this attacking card and a Defense Position monster whose DEF is lower than the ATK of this card, inflict the difference as Battle Damage to your opponent. ^^It doesn't say it can attack 3 times.
Yes. The whole idea behind Proto-Cyber Dragon's name changing effect is to let it be used for Cyber Dragon support and fusion.
No, there's a difference between a 'Blue-Eyes White Dragon monster' and a 'Blue-Eyes White Dragon'. The first is any monster with "Blue-Eyes White Dragon" in the name, while the other is a card called, and only called "Blue-Eyes White Dragon". Blue-Eyes Ultimate Dragon requires Blue-Eyes White Dragons only, not any variant. Likewise, Cyber End Dragon looks for "Cyber Dragon" not "Cyber Dragon monsters". You can only use cards called, and only called "Cyber Dragon". Note that Proto-Cyber Dragon has a name-changing effect that makes the card name into "Cyber Dragon" so does count and can be used for Cyber End Dragon. 'Cyber Dragon Zwei' also has an effect that also changes its name, though you need to pay a cost to do so. The whole point of these name-changing effects is so those cards can be used with Cyber Dragon's support cards, they would not normally be able to do so because they are not called, and only called "Cyber Dragon". Having Cyber Dragon in their names is not enough, as has been explained above.
No, "Versago the Destroyer" cannot be used as a Substitute-Fusion Material monster in the Fusion Summon of "Cyber Twin Dragon". "Cyber Twin Dragon" specifically states: A Fusion Summon of this card can only be conducted with the above Fusion Material Monsters. This card can be Special Summoned from the Extra Deck using "Cyber-Stein" or "Metamorphosis", but if it is Fusion Summoned, two "Cyber Dragon" cards must be used. The closest you can get to a Substitute-Fusion Material monster for "Cyber Twin Dragon" is if you have "Proto-Cyber Dragon" on the field. (It's card name is treated as "Cyber Dragon" while on the field.)
yes, if it was properly fusion summoned 1st