Move all of your to the bank. Any you gain or take is put in the bank. You can use in the bank as if it is on your board.
A: Nope. You can use favor in the Nomad bank, but it is not favor on your board.
A: No. You can use Nomad favor as if it is on your board, but you are not forced to.
A: It goes to the Nomad bank. More accurately, the card should say ‘any favor going to your board’ instead of ‘any favor you gain or take.’