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From what I can tell, the Stag lords attacks with his bow should be as follows.

To hit: BAB: +6, Dex Mod: +4, Weapon Focus: +1, Item bonus: +1
Combined, the to Hit score should be +12/+7

Take into account Deadly Aim, and the To Hit should be +10/+5
Point-Blank-Shot if the target is within 30 ft: +11/+6 (+13/+8 against humans)

Damage should be: 1d8+ Item bonus: +3, Deadly Aim: +4, PBS: +1
Total damage with Deadly Aim and PBS is 1d8+8. 1d8+10 against humans. Add an extra 3d6 if the target is flat-footed.

Attack stats with his bow should be: +10/+5(1d8+7 / x3)