I'm pretty sure Jeeves would have sent the laundry out to be done. Far as I can tell laundry was cheap and a small flat would not support washing space.

Funeral practices probably still tended toward the traditional laying out in the house of the family, but I'm not really sure. (I do know that our modern practices of morticians is fairly new. Oddly my Eor and I were just discussing that a short while ago this evening - the fact that there's a new push back to tradition.)