Remove my first letter and prepare the field, remove my third letter and condemn, remove my fourth letter and enjoy the hospitality

I am an odd number, and removing one letter makes me even.

I am a seven-letter word. My first two letters refer to a male, my first three letters refer to a female, my first four letters refer to a great man, and my entire word refers to a great woman.

If you have me, you have two of me. If you have one of me, you have none of me. What am I?

I climb when you’re clever, I sink when you’re rude, Yet ever capricious, I'm shaped by the mood. I underlie your words, whatever your view, My home framed in arrows, the choice left to you.