Speaking from experience drop the phoney email NOW! Do not respond to him again and don't let him know that was you.
You realize there is a problem in your marriage. Focus on that. If you can tell us more about your relationship. Has your H expressed unhappiness? What led you to look for him being unfaithful?
Me 54 DS19 and DS17 Married 06/1989 Divorced 01/2011