Using Binary Formatter to deserialize multiple objects

Here's the code: this first section has been figured out I Keep getting an Invalid CastException: Specified Cast is not valid. Can anyone help with this one? i've been at it for awhile but can't seem to crack it.

the issue is in the load function, I've posted the whole code up for people to take a look.

 using System.Collections;
 using System.Collections.Generic;
 using System.IO;
 using System.Linq;
 using UnityEngine;
 using System.Runtime.Serialization.Formatters.Binary;
 using System;
 
 public class Room_Class : MonoBehaviour
 {
     private const string SAVE_SEPERATOR = "#SAVE-VALUE#";
 
     public enum RoomState { Broken, Fixed_Dirty, Fixed_Clean, Idle }
     public RoomState roomState;
     public enum RoomType { Kitchen, Bathroom, LivingRoom, Bedroom1, Bedroom2, Bedroom3, Outdoor, Basement, Attic, RecRoom, WineCellar, Stairwell, Study, ArtRoom, Office, Foyer }
     public RoomType roomType;
 
     public List<Appliance_Class> _appliances = new List<Appliance_Class>();
 
     [SerializeField] List<string> _saves = new List<string>();
   
     [SerializeField] Sprite[] images;
     SpriteRenderer sprite;
     bool startClock = false;
     [SerializeField] float cleannningClock;
     float maxCleanningTime = 120;
     View_UI ui;
 
     private DataService dataService;
     private void Awake()
     {
         ui = FindObjectOfType<View_UI>();
         sprite = GetComponentInChildren<SpriteRenderer>();
     }
     private void Start()
     {
         dataService = StartupScript.ds;
 
     }
 
     IEnumerator SwapSprite(int i)
     {
         yield return new WaitForEndOfFrame();
         sprite.sprite = images[i];
     }
 
     public void CleanClock()
     {
         if (cleannningClock <= maxCleanningTime)
         {
             cleannningClock += 1 * Time.deltaTime;
         }
         else if (cleannningClock > maxCleanningTime) roomState = RoomState.Fixed_Dirty; /*ui.npcUpdater.text = $"{ roomType + " is dirty."}" ;*/
     }
 
     public void SaveApplianceState()
     {
         BinaryFormatter bf = new BinaryFormatter();
         FileStream file = File.Create(Application.dataPath + "/Saves/" + name + "Save.txt");
         for (int i = 0; i < _appliances.Count; i++)
         {
             _appliances[i].appId = i;
 
             SavedAppliance savedAppliance = new SavedAppliance
             {
 
                 appID = _appliances[i].appId,
                 name = _appliances[i].name,
                 dep = _appliances[i].depreciation,
                 position = _appliances[i].transform.position
             };
             _saves.Add(JsonUtility.ToJson(savedAppliance));
         }
 
         bf.Serialize(file, _saves);
         file.Close();
        
         //Trying to tie into the DATASERVICE so far it's broken  :'(
         //if (dataService.UpdateRoomItemJSONS(saveString, this.gameObject.GetComponentInParent<Room_Class>().gameObject.name) == 1)
         //    print("it worked!");
         //else
         //    print("it broke");
     }
 
     public void LoadApplianceState()
     {
         if (File.Exists(Application.dataPath + "/Saves/" + name + "Save.txt"))
         {
             BinaryFormatter bf = new BinaryFormatter();
             FileStream file = File.Open(Application.dataPath + "/Saves/" + name + "Save.txt", FileMode.Open);
             Room_Class saved = (Room_Class)bf.Deserialize(file);
             file.Close();
             for (int i = 0; i <= _appliances.Count; i++)
             {
                 foreach (Appliance_Class item in _appliances)
                 {
 
                     Appliance_Class appliance = item.GetComponent<Appliance_Class>();
 
                     if (appliance.appId == i)
                     {
                         LoadAppData(appliance, saved.name, saved.dep, saved.currentSprite, saved.position);
                     }   
                 }
             }
         }
     }
 
     public void LoadAppData(Appliance_Class obj,string name, int dep, int currentSprite, Vector3 pos)
     {
         obj.name = name;
         obj.depreciation = dep;
         obj.whichSprite = currentSprite;
         obj.transform.position = pos;
     }
 
     public void SaveAppData(Appliance_Class obj, string name, int dep, int currentSprite, Vector3 pos)
     {
        name =  obj.name;
        dep = obj.depreciation;
        currentSprite = obj.whichSprite;
        pos = obj.transform.position;
     }
 }
 
 
 [Serializable]
 public class SavedAppliance
 {
     public int appID;
     public string name;
     public int dep;
     public int currentSprite;
     public Vector3 position;
 }
 
 No the issue is i