The question revolves around the life of Saint Augustine. The correct chronology is in this following order:
1. In 375, Augustine moved to Carthage
to teach there.
2. In 384, Augustine became a professor in imperial court of Milan
.
3. In 387, Augustine was baptized by Bishop Ambrose, alongside with his son.
4. Between 387-391, he joined a monastery
5. In 395, he became Bishop in Church of Hippo.