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1.The word "Dark Ages" refers to the decades following the Black Death epidemic (1347-).
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The first centuries after the fall of the Roman Empire are often called the "Dark Ages".
2.Notre dame de Paris was erected during the Middle Ages
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Construction finished in 1345.
3.Constantinople was held by Muslims throughout most of the Middle Ages.
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False
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Constantinople remained Christian until 1453
4.Throughout the Middle Ages, the Catholic Church regularly staged elaborate witch-hunts, which only stopped after the rise of Protestantism
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False
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Witch accusations were rather part of folk belief, and elaborate witch-hunts were conducted by both Catholics and Protestants during the Early Modern Age.
5.Richard Lionheart led a Crusade
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False
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6.Charlemagne ruled over a small territory around the city of Paris
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False
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His empire comprised large parts of modern-day France, Germany and Italy, among others
7.Much of Germany was christianized by missionaries from the British Isles
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False
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8.Several Italian cities, including Venice and Genoa, were republics for centuries
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False
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9.The Hanseatic league was a Northern European trade confederation
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False
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10.Avignon in Southern France served as the seat of several Popes
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False
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11.Antiquity ended when the Mongols sacked Rome and overthrew the Emperor
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False
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The Mongols only entered Europe in the 13th century, and never made it to Rome.
12.Windmills were invented during the Middle Ages
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False
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13.In the year 1300, fewer than 100 000 people lived in all of Europe
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False
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Estimates talk of dozens of millions of people
14.Before Columbus' voyage across the Atlantic, scholarly consensus held that the Earth was flat
Milan is not a good example of a republic and should not be classified in the same position as Venice (Genoa or Pisa are much better examples) therefore the question is not entirely correct. Also majority of Central Europe was christianized mostly by missionaries from the Byzantine or the Holy Roman empires (with the exception of Great Moravia, who indeed started the process of Christianization trough Irish missionaries sent by the bishop of Salzburg).
Sorry for the mistake and thank you for the comment. I replaced Milan with Genoa. I had also changed Central European to German before but had forgot to resubmit.