The person is a Funeral Director. Other possible titles are mortician, or undertaker.
funeral arranger
undertaker
The person is an undertaker or mortician.
Undertaker, mortician, or funeral director.
Rode
A travel agent
A (musical) composer is 'sakkyokuka' in Japanese.
floral designer
A person who arranges dance movements is known as a choreographer. This artists designs the movements and flow of a dance.
Taphofile That's the name for people who love funerals and graves and cemeteries.
Goo
sociopath
They are called the undertakers.
At British Military funerals it's "The Last Post" . - I believe it's "Taps", at US military funerals. ( and contrary to popular mythology, they ARE different. )