I think Kate is not dead because:
1. She is a main cast member, so not a lot of people would watch Castle if Kate had died.
2. She is probably is in a Coma, and got shot in order for Castle to tell her he love's her.
No, she won't. She'll live.
Kate was killed by Ari (Ziva's half brother) in the season 2 finale called 'Twilight'Hope This Helps!
No.
Juliet
no one
Yes.
She died in the season finale of season 3 and the season 4 season premiere showed her funeral.
The season finale:(
No he gets poisoned by his hand wipes :-)
Technically, no. She died on the 6th season premiere.
No, she'll live.
The finale of season five, but she is revived on the first episode of season six.