I am in favor of putting funerals/memorial services/ celebrations of life off for a little while, especially when the death is "sudden".
It allows family/friends to make arrangements to be there. Everyone is a little less "raw". People can talk and remember and comfort each other.
When my husband died unexpectedly and instantly, we held his memorial service three weeks later. It was at his favorite fish camp. We cried, we talked about what he meant to us, we laughed at funny stories people told about him and we went out in a flotilla of boats to scatter his ashes at his favorite fishing spot.