As Agnostic, I don't know if there is or isn't anything after death. Part of me believes in all having some being, a sense of self. Don't know if that dies when the body does or if it goes elsewhere. Guess I'll just wait and see.
You did the right thing with your dog. All you did was in respect and love for you and your departed friend.

Have an internet hug. It sounds like Jake had a great life and that's the best we can do for those we love.

Sorry for your loss but the positives outway the negatives

Yes its for you

I do very similar things, and get upset when someone tries to remove a collar from a dog I have had to have put down, as if they are taking yet another thing from my beloved pet, as if losing its life isn't enough.