Answers:

gavinZac
Cork

Yes! Flamini airport has a direct and quick rail link from the aiport terminal to Termini station in the centre of Rome, which is a short walk or metro ride from the most famous sights. If he can leave his baggage at the airport there should be enough time for a few hours wandering Rome!

Raques
Alexandria

Thank you! Your advice is very helpful. I think we will be leaving most of our baggage except for my handbag and my camera of course. Thanks again!