You're mixing different ways to hookup buttons and methods.
Option 1 - Programmatically
MainActivity.cs
using System;
using Android.App;
using Android.OS;
using Android.Views;
using Android.Widget;
namespace Example
{
    [Activity(Label = "Example", MainLauncher = true, Icon = "@drawable/icon")]
    public class MainActivity : Activity
    {
        protected override void OnCreate(Bundle bundle)
        {
            base.OnCreate(bundle);
            this.SetContentView(Resource.Layout.Main);
            this.FindViewById<Button>(Resource.Id.ForwardButton).Click += this.Forward;
        }
        public void Forward(object sender, EventArgs e)
        {
            this.SetContentView(Resource.Layout.Main2);
            this.FindViewById<Button>(Resource.Id.BackButton).Click += this.Back;
        }
        public void Back(object sender, EventArgs e)
        {
            this.SetContentView(Resource.Layout.Main);
            this.FindViewById<Button>(Resource.Id.ForwardButton).Click += this.Forward;
        }
    }
}
Main.axml
<?xml version="1.0" encoding="utf-8"?>
<LinearLayout xmlns:android="http://schemas.android.com/apk/res/android"
    android:orientation="vertical"
    android:layout_width="fill_parent"
    android:layout_height="fill_parent">
    <Button
        android:id="@+id/ForwardButton"
        android:text="Forward"
        android:layout_width="match_parent"
        android:layout_height="wrap_content" />
</LinearLayout>
Main2.axml
<?xml version="1.0" encoding="utf-8"?>
<LinearLayout xmlns:android="http://schemas.android.com/apk/res/android"
    android:orientation="vertical"
    android:layout_width="fill_parent"
    android:layout_height="fill_parent">
    <TextView
        android:id="@+id/CheckedTextView"
        android:layout_width="match_parent"
        android:layout_height="326dp"
        android:enabled="false" />
    <Button
        android:id="@+id/BackButton"
        android:text="Back"
        android:layout_width="match_parent"
        android:layout_height="wrap_content" />
</LinearLayout>
In XML
MainActivity.cs
using System;
using Android.App;
using Android.OS;
using Android.Views;
using Android.Widget;
namespace Example
{
    [Activity(Label = "Example", MainLauncher = true, Icon = "@drawable/icon")]
    public class MainActivity : Activity
    {
        protected override void OnCreate(Bundle bundle)
        {
            base.OnCreate(bundle);
            this.SetContentView(Resource.Layout.Main);
        }
        [Java.Interop.Export("OnClick")]
        public void OnClick (View view)
        {
            var button = (Button)view;
            if (button.Id == Resource.Id.ForwardButton) {
                this.SetContentView(Resource.Layout.Main2);
            } else if (button.Id == Resource.Id.BackButton) {
                this.SetContentView(Resource.Layout.Main);
            }
        }
    }
}
Main.axml
<?xml version="1.0" encoding="utf-8"?>
<LinearLayout xmlns:android="http://schemas.android.com/apk/res/android"
    android:orientation="vertical"
    android:layout_width="fill_parent"
    android:layout_height="fill_parent">
    <Button
        android:id="@+id/ForwardButton"
        android:text="Forward"
        android:layout_width="match_parent"
        android:layout_height="wrap_content"
        android:onClick="OnClick" />
</LinearLayout>
Main2.axml
<?xml version="1.0" encoding="utf-8"?>
<LinearLayout xmlns:android="http://schemas.android.com/apk/res/android"
    android:orientation="vertical"
    android:layout_width="fill_parent"
    android:layout_height="fill_parent">
    <TextView
        android:id="@+id/CheckedTextView"
        android:layout_width="match_parent"
        android:layout_height="326dp"
        android:enabled="false" />
    <Button
        android:id="@+id/BackButton"
        android:text="Back"
        android:layout_width="match_parent"
        android:layout_height="wrap_content"
        android:onClick="OnClick" />
</LinearLayout>