2D Wall Jump and Wall Friction

Okay, here is an answer to your wall sticking:

Step One:

Right click in your Project window and create a new physics material, then put the settings to that there is no friction.

Step two:

Go to the colliders of your walls and assign it that way.

Now to make your character wall jump:

Copy the GameObject groundcheck in Unity. and put it to the middle of the player and just right of the player. Call it "Wall Check"

Now, and please add this script, it is an edited version of your script so just copy and paste over your whole script.

 using UnityEngine;
 using System.Collections;
 
 public class CharacterControllerScript : MonoBehaviour {
     
     public float maxSpeed = 10f;
     bool facingRight = true;
     
     Animator anim;
     
     //sets up the grounded stuff
     bool grounded = false;
     bool touchingWall = false; 
     public Transform groundCheck;
     public Transform wallCheck;
     float groundRadius = 0.2f;
     float wallTouchRadius = 0.2f;
     public LayerMask whatIsGround;
     public LayerMask whatIsWall;
     public float jumpForce = 700f;
     public float jumpPushForce = 10f;
     
     //double jump
     bool doubleJump = false;
     
     // Use this for initialization
     void Start () {
         
         anim = GetComponent<Animator>();
     }
     
     // Update is called once per frame
     void FixedUpdate () {
         
         // The player is grounded if a linecast to the groundcheck position hits anything on the ground layer.
         grounded = Physics2D.OverlapCircle(groundCheck.position, groundRadius, whatIsGround);
         touchingWall = Physics2D.OverlapCircle(wallCheck.position, wallTouchRadius, whatIsWall);
         anim.SetBool("Ground", grounded);
         
         if (grounded) 
         {
             doubleJump = false;
         }
 
         if (touchingWall) 
         {
             grounded = false; 
             doubleJump = false; 
         }
         
         anim.SetFloat ("vSpeed", rigidbody2D.velocity.y);
         
         
         
         float move = Input.GetAxis ("Horizontal");
         
         anim.SetFloat("Speed", Mathf.Abs (move));
         
         rigidbody2D.velocity = new Vector2(move * maxSpeed, rigidbody2D.velocity.y);
         
         // If the input is moving the player right and the player is facing left...
         if(move > 0 &&!facingRight){
             // ... flip the player.
             Flip ();
         }// Otherwise if the input is moving the player left and the player is facing right...
         else if(move < 0 && facingRight){
             // ... flip the player.
             Flip ();
         }
     }
     void Update()
     {
         
         // If the jump button is pressed and the player is grounded then the player should jump.
         if((grounded || !doubleJump) && Input.GetButtonDown("Jump"))
         {
             anim.SetBool("Ground", false);
             rigidbody2D.AddForce(new Vector2(0, jumpForce));
             
                         if(!doubleJump && !grounded)
                         {
                             doubleJump = true;
                         }
         }
 
         if (touchingWall && Input.GetButtonDown ("Jump")) 
         {
             WallJump ();
         }
         
     }
 
     void WallJump () 
     {
         rigidbody2D.AddForce (new Vector2 (jumpPushForce, jumpForce));
     }
     
     
     void Flip(){
         
         // Switch the way the player is labelled as facing
         facingRight = !facingRight;
         
         //Multiply the player's x local cale by -1
         Vector3 theScale = transform.localScale;
         theScale.x *= -1;
         transform.localScale = theScale;
     }
 }
 

Now I will need you to save the script go back to unity and assign the wallCheck variable in the Inspector. Also assign the other variables like WhatIsWall (LayerMask). create a Layer called "Wall" and assign your walls layers to "Wall".