OK, i'm reading the same thing over and over again so I've stopped before page 2.
1st - We don't need a funeral.
Fact is, we get 42 minutes of 'viewing' in any one week out of the lives. We can safely assume that should this be a real world, there week would not be 42 minutes. So to not get to see a funeral, its perfectly fine being that we know it will have taken place.
2nd - actually if you watch the next episode 'Why we Fight' and truly understand what is going on in Angels mind, he spends that entire episode mourning Cordelia. As for the rest, I expect they are grieving too, everyone lost a loved one. Fact is, after Cordelia dies, Angel can't spend too much time in mourning because he has just received a vision.
The others can't spend that much time either as after 'Why we Fight' ends we have Smile Time which has Wes and Fred understand that they love each other then we fall into the loss of Fred and the last few episodes are strongly building to the end.