The first coin might be a Kreuzer with unidentifiable date, the second coin is 10 Pfennig from 1959 with a mineralized reverse.
That is right, I have a Silver American Eagle, that is not ugly. My Indian Heads are not ugly either.
Partial of this one as it just glows in hand but I think the UNC 1876p in my set is my best Trade 1$ The rest of the set can be seen here http://www.pcgs.com/setregistry/showcase.aspx?sc=1220
Yep. When a coin looks odd (like the California half IMO) it is an indication that the coin could be suspect.
What makes you question it's authenticity? I don't see anything that screams fake. It looks a little cleaned to me though.
I know Ripley ultra sonically cleans her coins which leave the surface very shiny and this could trick ones eyes into thinking it was different. BUT I don't know much about that particular coin, so if you see a problem with the strike, then you might be on to something.