Yes, they have effect on damage and critical chance. I'll edit this post and provide you more accurate info after I find it. Check again in 5 minutes.
Edit:
Here is the info you need.
Here's what it says:
[spoiler:1e54c7d570]Primary Punch Attacks
Strong Punch
Requirements: Unarmed 55%, Agility 6
Damage: +3
AP: 3
Hammer Punch
Requirements: Unarmed 75%, Agility 6, Strength 5, level 6
Damage: +5
AP: 3
Critical Chance: +5%
Haymaker
Requirements: Unarmed 100%, Agility 7, Strength 5, level 9
Damage: +7
AP: 3
Critical Chance: +15%
Secondary Punch Attacks
Jab
Requirements: Unarmed 75%, Agility 7, Strength 5, level 5
Damage: +5
AP: 6
Critical: +5%
Palm Strike
Requirements: Unarmed 115%, Agility 7, Strength 5, level 12
Damage: +7, armor piercing
AP: 6
Critical: +15%
Piercing Strike
Requirements: Unarmed 130%, Agility 7, Strength 5, Level 16
Damage: +10, armor piercing
AP: 8
Critical: +40%
Primary Kick Attacks
Strong Kick
Requirements: Unarmed 40%, Agility 6
Damage: +5
AP: 4
Snap Kick
Requirements: Unarmed 60%, Agility 6, Level 6
Damage: +7
AP: 4
Power Kick
Requirements: Unarmed 80%, Agility 6, Strength 6, Level 9
Damage: +9
AP: 4
Critical Chance: +5%
Secondary Kick Attacks
Hip Kick
Requirements: Unarmed 60%, Agility 7, Strength 6, Level 6
Damage: +7
AP: 7
Hook Kick
Requirements: Unarmed 100%, Agility 7, Strength 6, Level 12
Damage: +9, armor piercing
AP: 7
Critical Chance: +10%
Piercing Kick
Requirements: Unarmed 125%, Agility 8, Strength 6, Level 15
Damage: +12, armor piercing
AP: 9
Critical Chance: +50% [/spoiler:1e54c7d570]
