How to Get My Camera to Follow First Person POV in First Person Controller

Hello!

I am using the default first person controller on Unity. My character is inside a house, and I want the player to move around inside the house. While trying out this level, I noticed that I have to switch what keypads I use depending on where I am in the room. Is there a way to make it so that I am always facing the direction that my person is going in (if I need to go backwards, the camera switches to that direction/ the camera follows the characters movement) so it doesn't feel weird when I move? My guess is that I would have to put in an if statement, but I am new to Unity and this type of coding. If I end up having to get rid of the MouseLook script, that's fine.

The scripts that I am using are the default MouseLook scripts that are attached to the First Person Controller. The script is below.

[AddComponentMenu("Camera-Control/Mouse Look")] public class MouseLook : MonoBehaviour {

 public enum RotationAxes { MouseXAndY = 0, MouseX = 1, MouseY = 2 }
 public RotationAxes axes = RotationAxes.MouseXAndY;
 public float sensitivityX = 15F;
 public float sensitivityY = 15F;

 public float minimumX = -360F;
 public float maximumX = 360F;

 public float minimumY = -60F;
 public float maximumY = 60F;

 float rotationY = 0F;

 void Update ()
 {
     if (axes == RotationAxes.MouseXAndY)
     {
         float rotationX = transform.localEulerAngles.y + Input.GetAxis("Mouse X") * sensitivityX;
         
         rotationY += Input.GetAxis("Mouse Y") * sensitivityY;
         rotationY = Mathf.Clamp (rotationY, minimumY, maximumY);
         
         transform.localEulerAngles = new Vector3(-rotationY, rotationX, 0);
     }
     else if (axes == RotationAxes.MouseX)
     {
         transform.Rotate(0, Input.GetAxis("Mouse X") * sensitivityX, 0);
     }
     else
     {
         rotationY += Input.GetAxis("Mouse Y") * sensitivityY;
         rotationY = Mathf.Clamp (rotationY, minimumY, maximumY);
         
         transform.localEulerAngles = new Vector3(-rotationY, transform.localEulerAngles.y, 0);
     }
 }
 
 void Start ()
 {
     // Make the rigid body not change rotation
     if (rigidbody)
         rigidbody.freezeRotation = true;
 }

}

Thank you in advance for your help! And I'm sure someone else might have asked this question, but I can't find an answer so if you know where it might be, a link to the answer would be fine too!