Doodledog
No. I don't see any reason why you should. I would inform them all, invite them to the funeral itself, and maybe refreshments afterwards, but not a family dinner or a hotel stay. If they wish to toast their father after the funeral, they can sort it out themselves.
I'm sorry for your loss, and don't think you need any more stress at such a sad time.
This!
You now have no further reason to engage with them at all. For your own health, cut them off. He chose you, that should be enough for them.
