NavMeshAgent MoveToClickPoint and ThirdPersonCharacter from Standard Asset Run?

I am trying to make the ThirdPersonCharacter from the standard assets navigate to a point on the map by mouse click. I combined some of the AiCharacterControl and MoveToClickPoint script from the docs to make the character walk but I'm having trouble making the character run. I tried changing velocity but no matter how high I change it, the character just walks. What I need to know is how to trigger the running animation.
One other problem I see is that when the character jumps, he/she stays in the air.

Code (CSharp):

1. using UnityEngine;
2. using UnityStandardAssets.Characters;
3.  
4. namespace Project{
5.     public class MoveToClickPoint : MonoBehaviour {
6.         private NavMeshAgent agent;
7.         private ThirdPersonCharacter character; // the character we are controlling
8.  
9.         void Start() {
10.             agent = GetComponent<NavMeshAgent>();
11.             character = GetComponent<ThirdPersonCharacter>();
12.         }
13.  
14.         void Update() {
15.             if(Input.GetMouseButtonDown(0)) {
16.                 RaycastHit hit;
17.  
18.                 if(Physics.Raycast(Camera.main.ScreenPointToRay(Input.mousePosition), out hit, 100)) {
19.                     agent.destination = hit.point;
20.                 }
21.             }
22.             if(agent.remainingDistance > agent.stoppingDistance)
23.                 character.Move(agent.desiredVelocity, false, false);
24.             else
25.                 character.Move(Vector3.zero, false, false);
26.         }
27.     }
28. }