My ONLY concerns, my ONLY reasons for wanting access, is to confirm that what he tells me about events is the truth, and to know how he portrays himself and is seen as a husband (man?) outside of our home.

He tells me the truth, and corrects any false perceptions that he is anything other than a man devoted to his wife, and there is zero problem for me.

He welcomes inappropriate sexist emails, exchanges any correspondence about deceiving me, we have a problem. And rightly so. Regardless of how he 'feels' about it. It's a problem, and one I have the right to know about.

Do you think he has a right to privacy in regards to sexually explicit emails from coworkers?

Marriage is the triumph of imagination over intelligence. Second marriage is the triumph of hope over experience.
(Oscar Wilde)