Neither #0 nor #1 is really much like English, but there's not a single correct answer. Acceptable options might include, e.g.,

Did you make it home okay?
Are you back home in good shape?
Are you home safe and sound?
Did you have any problems getting home?


BE may be more insistent than AE on 'Have you' as opposed to 'Did you?'

Auch korrekt?

did you reach home safely?
I trust you reached home safely.

Bedeutet, dass erste Übersetzung des Online-Übersetzters (erster Beitrag) nicht korrekt ist?

Nimm die Vorschläge von #2 und #4.

Did you arrive home well? could more or less only be understood as asking after the person's health, as in, I know you were feeling ill when we parted, but did you arrive home well or ill?