Moved to the moon, sport

So if I was to move to the moon and try to play soft ball I think there would be somethings difficult about it. Say i was paying pitcher depending on how far and hard I throw the ball I might go back which would be newtons 3 law. Since things are lighter on the moon I might throw it really hard and not notice. The ball would also take longer to get to the batter, because there is less gravity moving it. The acceleration due to gravity on the moon is 1.6m/s^2, on earth it is 9.8m/s^2.. If i was playing batter I might swing really hard but the ball might not go as far.