I thought κοτόπουλο was always used to refer to chicken that you'd eat as opposed to a live animal (similar to beef vs. cow in English). Is it used for the live animal too?

the same adjective in male and female version if somebody could tell?

I answered this with "alive" rather than "live", i.e. "it/this is an alive chicken", but it's marked incorrect. I thought alive/live were both synonymous adjectives.