Problems with adding an array to a list

I have tried to use a list for storing some string arrays, however, each time I add a new element to it, all previous elements are replaced by the new one. I have searched everywhere, but can't seem to find an answer to my problem. I hope you can help me. The code looks as follows:

 using UnityEngine;
 using System.Collections;
 using System.Collections.Generic;
 using UnityEngine.UI;
 
 public class FavoriteTracks : MonoBehaviour {
     public List<string> Titles;
     public List<string> Links;
     public List<string[]> MultiLinks; //This is the one, I have problems with
     public List<Sprite> Icons;
     public List<bool> BuiltOrNot;
     public int count;
     private int multicount = 0;
     private bool isTrue;
 
     void Awake()
     {
         MultiLinks = new List<string[]>();
         
     }
 
     public void ButtonAdd(string name, string link, Sprite icon, bool multiornot)
     {
         //This one works fine
         Titles.Add(name);
         Links.Add(link);
         Icons.Add(icon);
         BuiltOrNot.Add(multiornot);
         count++;
     }
     public void ButtonAdd(string name, string[] link, Sprite icon, bool multiornot)
     {
         //Here I add the string arrays, and have problems
         Titles.Add(name);        
         MultiLinks.Add(link);
         Icons.Add(icon);
         BuiltOrNot.Add(multiornot);
         count++;
         multicount++;
         Debug.Log(MultiLinks[0][0]);
         if (multicount >= 2)
         {
             Debug.Log(MultiLinks[1][0]);
         }
         if (multicount >= 3)
         {            
             Debug.Log(MultiLinks[2][0]);
         }
     }

It is probably not the most efficient way of doing things, but it is what I have for now. All other lists in my script work just fine. It is only the array one that gives me problems.