fixed rotation around object

What Im trying to do is this, I have a spotlight that rotates around the Player according to where the mouse is. The top down rotation works with my code I have below, and mimics the Top down Picture example I provided. However here's my problem, The code I have that works only gives me the bottom left Side view heights of the Player and Sportlight, so their equal. If i try to move them up or down and face the light down or up like I have in the bottom right 2 side view pictures, it wont rotate around correctly. Im really puzzled on what I should do to fix this. Keep in mind Im trying to have the light direction always face away from the player. Thanks!!

 public void lightMouseMovement()
     {
         float distToLight;
         float distToLookAt;
         Plane playerPlane;
        float rayDist = 0f;
  
  
        //Distance from Player to Light Object
         distToLight = (player.transform.position - this.transform.position).magnitude;
         //Distance from Player to Light Look At Object
         distToLookAt = (player.transform.position - lookAtObject.transform.position).magnitude;
         playerPlane = new Plane(Vector3.up, player.transform.position);
  
        //Creates ray from Screen to Point
        Ray ray = Camera.main.ScreenPointToRay(Input.mousePosition);
  
        //Sets rayDist to distance from Camera to movementPlane OR cancels out(parallel or opposite direction)
  
  
         if (playerPlane.Raycast(ray, out rayDist)) 
        {
          //Get Collision Point in world space
          Vector3 point = ray.GetPoint(rayDist);
          //Move to new Rotational Posistion
             this.transform.position = player.transform.position + (point - player.transform.position).normalized * distToLight;
  
        }
         if (playerPlane.Raycast(ray, out rayDist))
         {
             //Get Collision Point in world space
             Vector3 point = ray.GetPoint(rayDist);
             //Move to new Rotational Posistion
             lookAtObject.transform.position = player.transform.position + (point - player.transform.position).normalized * distToLookAt;
  
  
         }
         //Make Height Adjustment to new point
         this.transform.position = new Vector3(this.transform.position.x, this.transform.position.y + lightYAdj, this.transform.position.z);
         lookAtObject.transform.position = new Vector3(lookAtObject.transform.position.x, lookAtObject.transform.position.y + lookAtYAdj, lookAtObject.transform.position.z);
        //Turn Light to Look at Look At Object
        this.transform.LookAt (lookAtObject.transform.position);