Wow, you're right! Definitely civil war bullets. I'm not sure if they are chrome or stainless but they are heavy. What's the purpose? Who knows.... but I just found some Civil War Bullet Pens online. I suppose they would fit an old gun. Or, as TommyB mentioned, vampire slaying. Thanks, everyone!
Not necessatily "replicas" but they may just be bullets cast to be used by a reloading shooter. Several are hollow based - not hollow pointed - by the way.
Still very viable hunting bullets. I hunt deer with cast round balls that a Revolutionary War rifleman would have not thought different from his own. Fresh cast lead is very shiney.