VIENNA—Austria said on Friday it is barring those not fully vaccinated against COVID-19 from cafes, restaurants, and hairdressers as infections approach the record set a year ago and the government struggles to convince holdouts to get the shot. Roughly 64 percent of Austria’s population is fully vaccinated against COVID-19, in line with the European Union average but one of the lowest rates in western Europe. Many Austrians are sceptical about vaccines. New daily infections have been surging and on Friday reached 9,388, close to the record of 9,586 set a year ago. The government said it expects a new record in the coming days. “The evolution is exceptional and the occupancies of intensive-care beds are increasing significantly faster than we had expected,” conservative Chancellor Alexander Schallenberg told a news conference on the new measures that start on Monday. These include barring the unvaccinated from hotels, events of more than 25 …