How do I make a highscores board?

So in using this on an android game, it'll store the players name just fine, but it won't store the score - it simply puts a 0 in there :(

Hi this is a very simple high score system for saving a int score and a name. Hope the code is clear

 using UnityEngine;
 using System.Collections;
 using System.Collections.Generic;
 
 
 /// <summary>
 /// High score manager.
 /// Local highScore manager for LeaderboardLength number of entries
 /// 
 /// this is a singleton class.  to access these functions, use HighScoreManager._instance object.
 /// eg: HighScoreManager._instance.SaveHighScore("meh",1232);
 /// No need to attach this to any game object, thought it would create errors attaching.
 /// </summary>
 
 public class HighScoreManager : MonoBehaviour
 {
     
     private static HighScoreManager m_instance;
     private const int LeaderboardLength = 10;
     
     public static HighScoreManager _instance {
         get {
             if (m_instance == null) {
                 m_instance = new GameObject ("HighScoreManager").AddComponent<HighScoreManager> ();                
             }
             return m_instance;
         }
     }
     
     void Awake ()
     {
         if (m_instance == null) {
             m_instance = this;            
         } else if (m_instance != this)        
             Destroy (gameObject);    
         
         DontDestroyOnLoad (gameObject);
     }
     
     public void SaveHighScore (string name, int score)
     {
         List<Scores> HighScores = new List<Scores> ();
 
         int i = 1;
         while (i<=LeaderboardLength && PlayerPrefs.HasKey("HighScore"+i+"score")) {
             Scores temp = new Scores ();
             temp.score = PlayerPrefs.GetInt ("HighScore" + i + "score");
             temp.name = PlayerPrefs.GetString ("HighScore" + i + "name");
             HighScores.Add (temp);
             i++;
         }
         if (HighScores.Count == 0) {            
             Scores _temp = new Scores ();
             _temp.name = name;
             _temp.score = score;
             HighScores.Add (_temp);
         } else {
             for (i=1; i<=HighScores.Count && i<=LeaderboardLength; i++) {
                 if (score > HighScores [i - 1].score) {
                     Scores _temp = new Scores ();
                     _temp.name = name;
                     _temp.score = score;
                     HighScores.Insert (i - 1, _temp);
                     break;
                 }            
                 if (i == HighScores.Count && i < LeaderboardLength) {
                     Scores _temp = new Scores ();
                     _temp.name = name;
                     _temp.score = score;
                     HighScores.Add (_temp);
                     break;
                 }
             }
         }
         
         i = 1;
         while (i<=LeaderboardLength && i<=HighScores.Count) {
             PlayerPrefs.SetString ("HighScore" + i + "name", HighScores [i - 1].name);
             PlayerPrefs.SetInt ("HighScore" + i + "score", HighScores [i - 1].score);
             i++;
         }
         
     }
 
     public List<Scores>  GetHighScore ()
     {
         List<Scores> HighScores = new List<Scores> ();
 
         int i = 1;
         while (i<=LeaderboardLength && PlayerPrefs.HasKey("HighScore"+i+"score")) {
             Scores temp = new Scores ();
             temp.score = PlayerPrefs.GetInt ("HighScore" + i + "score");
             temp.name = PlayerPrefs.GetString ("HighScore" + i + "name");
             HighScores.Add (temp);
             i++;
         }
 
         return HighScores;
     }
     
     public void ClearLeaderBoard ()
     {
         //for(int i=0;i<HighScores.
         List<Scores> HighScores = GetHighScore();
         
         for(int i=1;i<=HighScores.Count;i++)
         {
             PlayerPrefs.DeleteKey("HighScore" + i + "name");
             PlayerPrefs.DeleteKey("HighScore" + i + "score");
         }
     }
     
     void OnApplicationQuit()
     {
         PlayerPrefs.Save();
     }
 }
 
 public class Scores
 {
     public int score;

     public string name;
 
 }

to check if this work check the following script, just add this to a game object and you will be able to check its functionality

 using UnityEngine;
 using System.Collections;
 using System.Collections.Generic;
 
 public class MenuController : MonoBehaviour {
 
     string name="";
     string score="";
     List<Scores> highscore;
     
     // Use this for initialization
     void Start () {
         EventManager._instance._buttonClick += ButtonClicked;
         
         highscore = new List<Scores>();
         
     }
     
     
     void ButtonClicked(GameObject _obj)
     {
         print("Clicked button:"+_obj.name);
     }
     
     // Update is called once per frame
     void Update () {
         
     }
     
     void OnGUI()
     {
         GUILayout.BeginHorizontal();
         GUILayout.Label("Name :");
         name =  GUILayout.TextField(name);
         GUILayout.EndHorizontal();
         
         GUILayout.BeginHorizontal();
         GUILayout.Label("Score :");
         score =  GUILayout.TextField(score);
         GUILayout.EndHorizontal();
         
         if(GUILayout.Button("Add Score"))
         {
             HighScoreManager._instance.SaveHighScore(name,System.Int32.Parse(score));
             highscore = HighScoreManager._instance.GetHighScore();    
         }
         
         if(GUILayout.Button("Get LeaderBoard"))
         {
             highscore = HighScoreManager._instance.GetHighScore();            
         }
         
         if(GUILayout.Button("Clear Leaderboard"))
         {
             HighScoreManager._instance.ClearLeaderBoard();            
         }
         
         GUILayout.Space(60);
         
         GUILayout.BeginHorizontal();
         GUILayout.Label("Name",GUILayout.Width(Screen.width/2));
         GUILayout.Label("Scores",GUILayout.Width(Screen.width/2));
         GUILayout.EndHorizontal();
         
         GUILayout.Space(25);
         
         foreach(Scores _score in highscore)
         {
             GUILayout.BeginHorizontal();
             GUILayout.Label(_score.name,GUILayout.Width(Screen.width/2));
             GUILayout.Label(""+_score.score,GUILayout.Width(Screen.width/2));
             GUILayout.EndHorizontal();
         }
     }
 }
     

I used the code above and I feel like it goes in to a loop uncontrolled. Here is an example of what happens. If the player gets a new score that is higher then the highest score then it wipes out the old score and replaces it with the highest.

So: Dan : 75 Dan : 50 Dan : 25 Dan : 25 Dan : 25

Becomes: Dan : 100 Dan : 100 Dan : 100 Dan : 100 Dan : 100