Jhiqui

So If I kill her she becomes an attachment. Cool…but

1.    If she is discarded can she will go to my discard pile. Does this mean I can search for her as an attachment in my discard pile?

2.    If she is on a character I control as an attachment can I now play another version of her as a character?

3.    If she is killed at the same time as another character (aka valor) can I attach her to a killed a dead character in moribund to save her going in my dead pile? 

I'm not sure exactly about 1, but:

2. I don't think so no. She would become a unique attachment named Jhiqui, so would still count as being a unique card with that name in play. Which is different to the characters that become agendas since agendas aren't in play, and so you can replay the character.

3. In theory yes. The sequence would be:

Valar -> Saves/Cancels -> Moribund -> Responses.

So you could move her to another moribund character as a response to her entering the moribund state. Attachments are immediately discarded from moribund characters so she would then go straight to the discard pile.

Unkillable unless she is alone? This card just keeps getting better and better. Doth Attachment deck takes worlds.. Im calling it! HoD Pentos!

1.  She is ONLY an attachment while she is attached to a character.  Any other time, she is considered a character.

2. Chilligreen is correct.  Unique rules still apply, regardless of card type. 

3. Correct, though strictly speaking this happens immediately upon becoming moribund.  It is not considered a "response" in terms of game mechanics and card abilities.

And on a technicality, she is still killed from those effects (Which is important for other effects that work after a character is killed). You are simply changing the destination, which does allow you to play another copy of her since she isn't in the dead pile.