Two items.

[Jrharvey91]

the smaller item is marked US thanks for your help everyone.

 

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[Deftone]

The 1st one reminds me of a gas range burner cap.

 

[nhbenz]

Small one seems to be a rimfire shell casing, like discussed here: THE CARTRIDGE COLLECTOR

 

[Tony in SC]

Had a cartridge in my collection once that was the length of a 22 short, but the bullet was 5mm or so. I think it was European.

 

[A2coins]

the top one looks like a mason jar insulated lid cant tell size from the pic

 

[pistol-pete]

22 Short blank, crimped front, by United States Cartridge Co.