Camera smooth rotate wont follow player object

Questions & Answers
1

I made a simple script for camera follow and camera rotate. I tried then to make the rotation smooth, but when adding that i simply cannot get the camera to follow the player object (a sphere) and to rotate smoothly.
Can someone tell me what im doing wrong and how i can make the code better for it to work?
Thanks in advance!

using UnityEngine;
using System.Collections;

public class CameraController : MonoBehaviour {

    public GameObject player;
    public Vector3 offset;
    public Transform target;
    public int i = 1;

    private float smoothSpeed = 0.125f;


    void Start ()
    {

    }

    void Update()
    {
        // object follow code
        transform.position = transform.position + offset;

        // camera rotation code
        transform.position = Vector3.Lerp(transform.position, offset, smoothSpeed);

        CameraVectors();
    }

    void LateUpdate ()
    {
        transform.LookAt(player.transform);

        if (Input.GetKeyDown(KeyCode.E))
        {
            if (i == 4)
            {
                i = 1;
            }
            else
            {
                i++;
            }
        }
    }

    void CameraVectors ()
    {
        switch (i)
        {
            case 1:
                offset = new Vector3(0, 5, -5);
                break;
            case 2:
                offset = new Vector3(5, 5, 0);
                break;
            case 3:
                offset = new Vector3(0, 5, 5);
                break;
            case 4:
                offset = new Vector3(-5, 5, 0);
                break;
            default:
                offset = new Vector3(0, 5, -5);
                break;
        }
    }
}
2

You are assigning a value to transform.position twice without setting the rotation. Not quite sure what the switch statement is supposed to do either. Also, it seems like you might want to read up on local and global coordinates, too.
The way I would go about this is to create a dummy GameObject that is attached to the player GameObject with the desired offset and rotation. Create a reference to that dummy object in your camera script and constantly lerp your camera’s global position and rotation to the dummy object’s global position and rotation.