struggling with saving and loading multiple characters

I been trying all kinds of ways figure out how to do this but I still cant figure it out (for a feature that is so common I cant believe there is not a more thorough tutorial). Anyway, on my "main menu" I want to display a list of 5 buttons (these are to display created characters) and also have buttons for "create", "delete", and "play"

I can create a single player with all the stats I want saved and display the name to the button. But I'm still stuck trying to create a 2nd (separate) player/file/or whatever.

Also Im still just learning and would say I fall under the beginner category so please keep that in mind when(and if anyone responds).

Here is my SaveLoad script:

          using UnityEngine;
          using System.Collections;
          using System.Collections.Generic;
          using System.Runtime.Serialization.Formatters.Binary;
          using System.IO;
           
          public static class SaveLoad {
           
                       
             public static void Save(PlayerCharacter player) {
                 
                  BinaryFormatter bf = new BinaryFormatter();
                  FileStream file = new Filestream(Application.persistentDataPath + "/savedGames.gd", Filemode.Create); 
      
                  PlayerData data = new PlayerData(player);
                  bf.Serialize(file, data);
                  file.Close();
              }   
               
              public static PlayerData Load() {
                  if(File.Exists(Application.persistentDataPath + "/savedGames.gd")) {
                      BinaryFormatter bf = new BinaryFormatter();
                      FileStream file = new Filestream(Application.persistentDataPath + "/savedGames.gd", FileMode.Open);
                      PlayerData data = bf.Deserialize(file) as PlayerData;
                      file.Close();
                      return data;
                  }
      else{
      return null
      }
  }

My PlayerData script :

   [Serializable]
      public class PlayerData
      {
      public int[] stats;
      public string;
      
      public PlayerData(PlayerCharacter player)
      {
      player.StatUpdate();
      //NAME
      name = player.Name;
      
      //STATS
      stats = new int[10];
      for(int cnt; cnt < Enum.GetValues(typeof(AttributeName)).Length;cnt++)
      {
      stats[cnt] = player.GetPrimaryAttribute(cnt).BaseValue;
      }
      }
  
  

Also my PlayerCharacter Class inherits from a class that holds all the real player-related stuff(statUpdate, GetPrimaryAttributes, ect)....if that matters.