With a free bet, you're making a wager without any real cash attached. If you use a free bet and win, the winnings you receive back will not include the free bet amount. Instead, you'll only receive back the amount of the winnings.
Taking the same example, if you bet on Che. Home no bet and away no bet are self-explanatory types of handicap bets where the bet is void or refunded if a certain outcome occurs. With a home no bet, if the home team wins then the bet is void/refunded. You only lose the bet if the away team wins.