Trying to make a simple quest system, but i stuck how to do

Hello! I am trying to make a simple quest system. My thoughts for my first implementation was something easy to activate something with a bool (maybe a door or something else). I have tried to do this with a base Quest class. I want to create the Quest, and then store this quest in a list to show it in a questlog. Each quest should be added to the list with a button to show each questinformation in the questlog if you click on it. but i stuck with my mind. i dont know if i do this correctly how i want it to be. but i think not because i dont know how to get further.

I have the base class:

  public class BaseQuest : MonoBehaviour
     {
         public string QuestName { get; set; }
         public string QuestDescription { get; set; }
         public bool Activated { get; set; }
         public bool Completed { get; set; }
 
         public void Evaluate()
         {
             if (Activated)
             {
                 Complete();
             }
         }
 
         public void Complete()
         {
             Completed = true;
         }
 
     }

then i want to set each props to their associated variables!

  public class ActivationQuest : BaseQuest
     {
         public ActivationQuest(string name, string description, bool activated, bool completed)
         {
             this.QuestName = name;
             this.QuestDescription = description;
             this.Activated = activated;
             this.Completed = completed;
         }
 
         public void Check()
         {
            if (Completed)
            {
               UpdateUI();
            }
         }
 
         public void UpdateUI()
         {
             Debug.Log("Updated");
         }
     }

i dont know if i am doing this right. because nothing of these is deriving from Monobehaviour or even if i use this correctly. then i want to add this somehow to a list where it will be stored so that i can show this later in the questlog.

  public class QuestInventory : MonoBehaviour
     {
         #region Singleton
         public static QuestInventory qInstance;
 
         void Awake()
         {
             if (qInstance != null)
             {
                 Debug.LogWarning("More than one instance of QuestInventory found!");
                 return;
             }
 
             qInstance = this;
         }
         #endregion
 
         public ActivationQuest quest;
         public List<ActivationQuest> QuestEntry = new List<ActivationQuest>();
 //Start just for test to add
         private void Start()
         {
             AddQuest(quest);
         }
 
         public void AddQuest(ActivationQuest questEntry)
         {
             QuestEntry.Add(questEntry);
         }
 
         public void RemoveQuest(ActivationQuest questEntry)
         {
             QuestEntry.Remove(questEntry);
         }
     }

i think im doing this completely wrong. :( my mind is stucked because i think about the problem and i dont move along. i know how i want it but i dont know how to do this the best way or even right :(

Thanks