No.
No. The camel spider is actually a wind scorpion. They can grow up to 19cm (7.5 inches) in length.
Yes, Sun Spider is another name for the Camel Spider.
An Arachnid is an arthropod with eight or more legs, making the Solifugae (AKA camel spider) an arachnid, but not a "true" spider. Anything in the Arachnid family is considered a spider.
camel spiders don't kill camels