Get the currently open scene name or file name

Try (Application.loadedLevelName). You can find the (scanty) page on it here. It gives you the name of the last level loaded, which is probably the current level.

Since they added the SceneManager the right way to do that is

http://answers.unity3d.com/questions/1116932/what-is-the-new-scenemanagement-equivalent-for-app.html

 Scene scene = SceneManager.GetActiveScene();
 scene.name; // name of scene

I finally with all the clues after reading for several hours on the forums found the solution to this.. On your first script where you call application.LoadLevel, it is correct this script will be destroyed and not run anymore code... On the player I made another script to determine which zone I was in and used onLevelWasLoaded function... Inside this function I figured out which scene I had just loaded with Application.loadedLevelName.. and THEN and ONLY THEN, despite advice from all over these forums, could I place the player's position for this zone. Here is a quick example.. Make sure your zones have proper spacing in them or this will not work! Also make sure that you don't forget to label the locations you want to teleport to in the inspector :)

 //this code goes on your teleporter
 #pragma strict
 var MyLevel:String;
 var MyPlayer:GameObject;
 var Destination : Transform;
  
 function OnTriggerEnter (other : Collider) 
 {
  if (other.gameObject.tag == "Player") 
      {
           MyPlayer = other.gameObject;
           DontDestroyOnLoad(MyPlayer);
          Application.LoadLevel (MyLevel);     
      }
 }
 
 //this code goes on the player
 #pragma strict
 var portalDropoff : Vector3;
 var portalDropoffCOL  : Vector3;
 
 
 function OnLevelWasLoaded() 
 {
     portalDropoff = gameObject.Find("portalDropoff").transform.position;
     if (Application.loadedLevelName == "Whatever the name of your zone 1 is as a string")
     {
     this.transform.position = portalDropoff;
     }
     if(Application.loadedLevelName == "whatever the name of the second zone is")
     {
     this.transform.position = portalDropoffCOL;    
     }
 }
 

 

SceneManager.GetActiveScene().name