Your point (1) cannot be true, as Italy has barely better vaccination rate. https://ourworldindata.org/explorers/coronavirus-data-explorer?zoomToSelection=true

Your point (1) cannot be true, as Italy has barely better vaccination rate. https://ourworldindata.org/explorers/coronavirus-data-explorer?zoomToSelection=true&time=2020-03-01..latest&facet=none&pickerSort=asc&pickerMetric=location&Metric=People+vaccinated+%28by+dose%29&Interval=7-day+rolling+average&Relative+to+Population=true&Align+outbreaks=false&country=DEU~ITA https://ourworldindata.org/explorers/coronavirus-data-explor...