1. To get to the train into Rome from Fiumicino Airport: After passing through customs one enters a large hall. Turn right and find stairs and escalator to an underpass at the left. Go through the underpass and on exiting there is a desk which sells train tickets.
2. There is a convenient Internet Point near (or maybe part of) the Hotel Aphrodite on Via Marsala which runs along one side of the Termini Train station in Rome.
3. A very good (though a little expensive) rental apartment is on Pizzale degli Eroi 8. It can be recomended unreservebly. The agent is "Friendly Rentals".