Hi! I have a doubt with Anakin Vader:

The Vader's special says: " Deal 3 damage to a character. Then deal 1 damage to this character"

So, if I control Vader and deal 3 damage to the last opponent's character, and he is defeated, but my Vader is also my last character, with 10 damages and no shileds, he should be defeated too. What happens?

I could see this in the rules reference guide, pg 14:

"WINNING THE GAME

There are two ways for a game to end:

• All of a player’s characters are defeated. The game ends immediately and the other player wins the game."

Reading this, I understand that Vader wins, but I'm not completely sure.

And one more doubt, this time using this Vader with Command Shuttle. Its special reads: " Use a special ability on one of your characters."

If I use this with Vader's special, Vader gets the damage, right?

Because of the 'Then', yes, I'd say that the opponent's character takes the damage and dies, immediately ending the game before Anakin takes his damage.

Command Shuttle would work just like Cunning - it triggers the entire effect, as written. Which means that Anakin takes the damage, as it's part of the effect.