As I said, two of them look replated so all of them look normal. Everything you stated looks like a normal steel cent, replated or not.
They got reprocessed(new zinc coating). This = damaged. <---- = $0.30-1.50 each if that... The story sounds fake. The 1943 no mint mark looks legit.
They certainly do fit the criteria of being "too shiny". I read that the proof is in the edges, as the edges shouldn't be plated.
you need to do a bit more research ==> https://www.ngccoin.com/news/article/6810/counterfeit-detection-september-2018/