Do game objects "inherit" the classes of their script components

Ok, so here it is. I'm not sure I've grasped what the "script components" really do. I've created my own class that all "mobs" (monsters, players, you name it) should belong to. I want to visualize the mobs with a, let's say, 3D object. So I create the object and attatch the script containing the script with public/serialized variables that I can change for each individual 3D object, right?

Below is the code for my class. But how would I pass the 3D object into a function like "void Greet(MobInfo mobInfo)"?

To sum it up: 1) Are the variables I assign in the inspector tab SPECIFIC for that individual 3D object? (or do I have to add some code saying "MobInfo player = gameObject" with an individual subclass for each 3D object)

2)If 1) is true, how would I carry on and retrieve the 3D object as a member of the MobInfo class.

 using UnityEngine;
 using System.Collections;
 using System.Collections.Generic;
 
 public class MobInfo : MonoBehaviour {
 
     public bool isPlayer;
     [SerializeField]
     public Dictionary<string, int> status = new Dictionary<string, int>() //MAIN STATS --- NOTE!!! These should only be changed when recieving a PERMANENT bonus
     {
         {"HP", 50},
         {"MP", 50},
         {"STR", 10},
         {"DEX", 10},
         {"MAGIC", 10},
         {"EVASION", 1},
         {"DEFENSE", 10},
         {"SPEED", 1}
     };
     public string currentMove;
     [SerializeField]
     public Spell currentSpell;
     public bool isTurn;
     private string[] moves = {"Attack", "Defend", "Spell", "Run"};
     private bool showGUI;
     public Dictionary<string, int> ModStats = new Dictionary<string, int>(); //Used to store equipment bonus or (de)buff effects (temporary changes)
     public Dictionary<string, int> currBuffs = new Dictionary<string, int>(); //Will reflect the remaining duration of a (de)buff
 
 
     public void ChooseMove() {
         if (isPlayer) { //If it's the player, show the GUI
             showGUI=true;
             currentMove = ChoiceGUI ();
                 } else { //If it's the computer, make a random choice
             int rand = Random.Range(0,2);
             currentMove = moves.GetValue (rand).ToString();
                 }
     }
 
     public string ChoiceGUI() {
                 if (showGUI) {
                         GUI.Box (new Rect (10, 10, 100, 140), "");
     
                         if (GUI.Button (new Rect (20, 40, 80, 20), "Attack")) { //MAKE ATTACK BUTTON
                                 showGUI = false;
                                 return "Attack";
                         }
 
                         if (GUI.Button (new Rect (20, 70, 80, 20), "Defend")) { //MAKE DEFEND BUTTON
                                 showGUI = false;
                                 return "Defend";
                         }
                         if (GUI.Button (new Rect (20, 100, 80, 20), "Spell")) { //MAKE SPELL BUTTON
                             showGUI = false;
                             return "Spell";
                         }
                         if (GUI.Button (new Rect (20, 130, 80, 20), "Run")) { //MAKE RUN BUTTON
                             showGUI = false;
                             return "Run";
                         }else {
                             return "Error";
                         }
                 } else {
                         return "Error";
                 }
 
         }
 
 }