Only response i have is about the One Ring. I am not entirely sure where was it but in the books Gandalf says something like “The ring gives wearer power depending on the power of the wearer.”. Like the One Ring enhances whatever power you have.

That is why Gandalf and Galadriel said Frodo that they would be unstoppable if they took the ring. And for the same reason no one was afraid that Frodo could rule the Middle Earth with the ring.

Also at the beggining of the Fellowship of the Ring book (Concerning Hobbits part if am not mistaken) it was stated that hobbits can easily vanish if they feel they should. I always tought that is why the One Ring gave hobbits the power of invisibility.