2D Character Rigidbody not moving with arrow keys.

I am creating a movement script which includes jumping and running but while my character animates it will not move despite speed being above 0. Here's the code.

using UnityEngine; using System.Collections;

// TODO - Add in Jumping and animation handling, probably sounds too

public class PlayerMovement : MonoBehaviour { public float speed = 100; // Seems good - subject to change private float initialSpeed = 100; //copies the speed from the player movement speed "5" public float jumpHeight; bool canJump = true;

 //public int playerScore = 0; //public int, this means other scripts can access this
 //public GUIText scoreOutput; // display text in game  - assigned with scoretext game object


 Rigidbody2D RigidBodyHandling;
 Vector2 StopMove;
 Vector3 scale;
 Animator AnimatorHandling;


 // Use this for initialization
 void Start()
 {
     RigidBodyHandling = gameObject.GetComponent<Rigidbody2D>();
     AnimatorHandling = gameObject.GetComponent<Animator>();

 }

 // Update is called once per frame
 void Update()
 {
     if (Input.GetAxis("Horizontal") > 0) // moving right
     {
         
         scale = new Vector3(1.851962f, 1.643932f, 1);
         transform.localScale = scale; // Sets player sprite to face right
     }
     else if (Input.GetAxis("Horizontal") < 0) // moving left
     {
         
         scale = new Vector3(-1.851962f, 1.643932f, 1);
         transform.localScale = scale;  // Sets player sprite to face left
     }

     if (Input.GetKey(KeyCode.LeftShift) && Input.GetAxis("Horizontal") != 0)
     { //if player holds down shift, and is pressing a movement direction set the max speed & anim to 1.5
         speed = initialSpeed * 1.5f; // multiplying the current speed by 1.5
         AnimatorHandling.SetFloat("Walk", 1.5f); //speeds up the animation to match
     }
     else {            //If shift is not held down, start walking by with default speed
         speed = initialSpeed; //defaults back to original speed "5"
         AnimatorHandling.SetFloat("Walk", Mathf.Abs(Input.GetAxis("Horizontal"))); //sets the animation back to "5" too
     }


     StopMove = new Vector2(0, RigidBodyHandling.velocity.y);

     if (Input.GetAxis("Horizontal") != 0 && (RigidBodyHandling.velocity.x < speed && RigidBodyHandling.velocity.x > -speed)) //If player is moving in X or -X direction
     {
         RigidBodyHandling.AddForce(Vector2.right * Input.GetAxis("Horizontal") * 10); //Moves the player 
     }
     else if (Input.GetAxis("Horizontal") == 0) // If <-/-> isn't pressed
     {
         RigidBodyHandling.velocity = StopMove; // Stop the player
     }

     if (Input.GetButtonDown("Jump")) //if the player presses jump
     {
         if (canJump == true) //if the player can currently jump
         {
             AnimatorHandling.SetBool("Jump", true); //play the jump animation
             RigidBodyHandling.AddForce(transform.up * jumpHeight); //give the rigid body upward force
             canJump = false; //stops the player jumping while already in the air
         }
     }

     ////take the score output variable and convert it to a string
     //scoreOutput.text = ("Score: " + playerScore.ToString()); // linking back to text - types out score + " playerscore" string - the number
 }

 void OnCollisionEnter2D(Collision2D coll)            //check if the player collides with the ground again.
 {
     if (coll.gameObject.tag == "Ground")
     {
         AnimatorHandling.SetBool("Jump", false);    //stops the jump animation/setting the char back to idle.

         AnimatorHandling.SetBool("Land", true);     //starts the landing animation.
         StartCoroutine(LandingAnimationWait());
     }
 }

 IEnumerator LandingAnimationWait()                  //A delay while the landing animation plays.
 {
     float WaitTimer = 0.5f;                         //sets the wait time. 
     yield return new WaitForSeconds(WaitTimer);
     canJump = true;                                 //once the landing animation is complete allows player to jump again. 
     AnimatorHandling.SetBool("Land", false);        //ends landing animation
 }

}

I'm really confused here. Any help?