I went to Rome last November for 4 or 5 days. The weather was surprisingly good. Avoid the restaurants just next to the Vatican. I made the stupid mistake of sitting down and not asking for the prices. They try and rush you, don't give you a menu and you end up paying way over the odds for something like a sandwich and a drink.
The Jewish area of Rome - Trastevere is well worth a look.
There was no sign of the Barbarian horde at the Coliseum :-(
Enjoy.
One of my favourite ever holidays with the Mrs was when we backpacked through Italy by train staying at Venice, Florence and Rome in independent 2/3* places. Rome was my favourite of those 3 cities. We stayed in Trastervere which had good access to the sites and a restaurant that served me the best spaghetti alla vongole I've ever had the pleasure of eating. Found the Trevi Fountain fairly annoying as it seemed to be full of Indians trying to take your photo. Everything else blew my mind. Can't wait for my lad to be old enough to do a Romans project at school so we have an excuse to go back.
I went in summer though. No idea what the weather's like in November.