Any time before the end of the final betting round, folding in turn if there's no bet to you (ex: facing a check or first to act post-flop) or folding out of turn are binding folds subject to penalty. So, the fold is binding and is subject to penalty.
A draw no bet simply works by eliminating the option of a draw from a bet. Therefore, as a bettor, you can place your wagers either on a home or away win. This means that if your predictions are correct, you win. However, if the game ends in a draw, your wager is refunded since there is neither a win nor loss.