Short answers, pulled from the story.
A Roman villa was a residential building located outside urban settlements, while a domus was situated inside a town or city. Villas ranged from modest working farmhouses in early Italy to large palatial estates by the imperial period.
Ancient Roman writers identified several types: the villa urbana (a country estate with little agriculture, near a city), the villa rustica (a working farmhouse associated with agriculture or viticulture), the villa marittima (near the sea or river), and the latifundium (a large commercial agricultural estate).
Varro, who lived from 116 to 27 BC, wrote the most detailed ancient text on the meaning of villa. His account from the end of the Republican period is used as the basis for most modern scholarly consideration of the subject.
Some Roman villas survived into the Early Middle Ages and were donated by aristocrats to monks, becoming the nucleus of famous monasteries. Saint Benedict established a monastery in a villa at Subiaco that had belonged to Nero, and Echternach Abbey was founded in 698 at a Roman villa near Trier.
Surviving Roman villas include Hadrian's Villa in Tivoli, the Villa Romana del Casale in Piazza Armerina in Sicily, the Villa of the Papyri at Herculaneum, and Bignor Roman Villa in West Sussex, England, among others across Britain, Italy, Spain, Germany, and Bulgaria.
A villa rustica was divided into the pars urbana (owner's quarters), the pars rustica (farm staff and livestock), and sometimes a pars fructaria for producing and storing oil, wine, and grain. Villas across the empire engaged in mining, pottery, horse raising, and agricultural export, including the seagoing export of olive oil from Hispania Baetica to Roman legions in Germany.