Here are the new rules for bowing:
Character can make one shot per melee round with a successful DEX check
Proficient. Two options:
1) Option One. Trying for two shots. Character needs to make a DEX check for the first shot, then a second DEX check at half score, rounded-up.
2) Option Two. One shot. Character can make one shot per melee round without any DEX check.
Character can make one shot automatically, then a second shot with a successful DEX check. Character can make a second shot with a successful DEX check. If the character is 7th level that allows a third shot, the character can make a third shot if he makes a DEX at half score, rounded up. If the character is allowed a fourth shot, he can make the shot if he successfully makes a DEX at quarter score, rounded up.