I'm 95% certain the first piece is a leveling foot from some piece of equipment, appliance or maybe even a bed. Looks like the base of the raised part may be hexagonal to allow it to be turned with a wrench. If so, the inside of the hole should be threaded.
The second piece is a marker tag. 100% certain, without a doubt. It would have been nailed into a post, pole, tree or any number of things for various reasons and would have been stamped or carved with relevant info. Lead was used because it could withstand the elements and could be easily melted down and reused. My great-grandpa on my mom's side would nail them the gates separating his cows to keep track of when to move the bulls and calves. He'd nail them to planks in different sections of the smokehouse and go in everyday to scratch a tally mark on each tag to keep track of how many days each batch had been smoking. I remember as a kid asking him if he ever thought that he'd forgotten that he had already been in the smokehouse that day and accidentally scratched an extra mark. He told me that he did forget from time to time, but that he could always tell if he, or someone else, had already been in by looking at the tally mark because it would be shinier than the rest until the next day. I always thought that was the neatest thing. He also used the tags and tallies when salt curing fish. I've got a lot of fond memories of making and checking tags with him. My grandma, grandpa and great uncles on my dad's side used them as trail markers for their moonshine operation to locate the whiskey they stashed out in the woods to age. I've got a few fond memories of that, too.
I apologize if that was too much information. Lol