They do recommend funeral directors to take care of all paperwork/and do the embassy stuff etc.. they are not that expensive, the death cert must be registered at the Amphur where he died, before the body is released. (tried to tell a Thai friend of mine who's husband just died, about that I was ignored, His body was brought to the temple by hospital ambulance, then of course they couldn't cremate him, she had to high tail it back to the Amphur, from Buriram back to Chanthaburi, as the hospital had neglected to do it)
This is one.