Factual error: The opening scene shows Donna graduating from New College in 1979. That is not possible, women were only first admitted in 1979.
Factual error: Donna graduated in 1979. Assuming the events of the film took place in one year thereafter, Sophie would have been born in 1980. This film takes place five years after the events of the first film (where we know Sophie was 20 years old) so we would assume it's now 2005. Sophie and Sky are both seen talking on smartphones, which had not been invented yet.