Control Systems - Pole Location
Natural frequency (wn) increases since the radial distance of the poles are going to be greater. Angle theta is going to decrease.
  


Correct.


  
  Since theta decreases damping ratio (zeta) is going to increase since    it is equal to cos(theta).
  


Correct.


  
  Maximum percent overshoot is going to decrease.
  


Yes, because \$\zeta\$ has increased


  
  Settling time is going to decrease.
  


Because \$\zeta\$ has increased, overshoot has decreased hence settling time to within "some percentage" limits are decreased. But it depends on how you define settling time. Once the step has caused the output response to "hit" the first overshoot, it will settle more quickly to stability. But as \$\zeta\$ approaches 1 (the limit for conjugate poles) it does take a long time to hit that first overshoot.

For instance if \$\zeta\$ is 0.90 it will hit the first overshoot in about 70% of the time it would take if \$\zeta\$ was 0.95. But, once that overshoot is hit, a \$\zeta\$ value of 0.95 will settle down more quickly.

So, it depends on how you define settling time.