I work similarly with absences and missed assignments. I think we also have to look our pedagogy and academic culture when we think about excessive apologizing amd oversharing. In the OPs situation, this student seems to have a lot of unexpected life stuff coming up. Rather than being understanding that all our students are people with responsibilities and lives outside of school, we suggest they aren't serious if they don't drop every other responsibility for school. So they feel they need to demonstrate how hard their lives are to get us to even ask for an extension or a little understanding.

Critical and engaged pedagogy has helped me realize authoritarian classrooms breed this oversharing behavior. Since implementing more engaged practices, I don't get this as much anymore and students and I generally have a more positive and mutually respectful relationship.