Personally I don't, but the people who do hate her might because she joined the Dark Forest out of revenge.
(it might be because of something else, but I've only read 5 chapters into Night Whispers)
Ivypool's parents are Whitewing and Birchfall. Whitewing is her mother and Birchfall is her father.
Dovewing told Ivypool about her unusual power because Ivypool was angry with Dovewing about the confusing secrets she had. I do not remember what book, I think it might be Omen of the Stars book 3.
No.
Yes she does.
Ivypool is not in the Power of Three prophecy because the prophecy specifically refers to Lionblaze, Jayfeather, and Hollyleaf as the three cats with the power to hold the fate of the Clans in their paws. Ivypool is their cousin and belongs to a different prophecy called the "Three" in the Omen of the Stars series.
Their warrior names are Ivypool and Dovewing.
Dovewing and Ivypool
No i don't think she will. Ivypool (as a warrior) found out that Dovewing (as a warrior) has the power of the stars in her paws. Jayfeather and Lionblaze ask Ivypool to spy on the Dark Forest cats for them when Dovewing tells them that Ivypool had been training in the Dark Forest. Ivypool seems disgusted with how the Dark Forest cats are training, so no, i believe she will stay loyal to ThunderClan and fight beside them when the Dark Forest attacks.
I know blossomfall, Ivypool, breezepelt, and tigerheart did.
No, but Hollyleaf, Firestar, and Ferncloud died, and Spottedleaf died for the second time.
No she does not but bumblestripe use to have a crush on her but now he loves dovewing.
I think your talking about Icecloud, Icewing, Icewhisker, Ice, Poolcloud or Ivypool.