@Creole, the size of the coin in the link I will provide below does not match yours very well, but gives an indication of what I am thinking about the first coin in your link with a Jerusalem cross comprised of a large cross with small crosses of the same style in the corners.
This cross is most commonly found not in "crusader era"coins, but on coins from centuries later in southern Italy:
https://en.numista.com/catalogue/pieces119340.html
This coin and similar ones having the size of yours would have circulated in Apulia which was part of the Kingdom of Naples, confirming at least part of what you were told about the coin's origins.
So, to answer your question: first coin is likely Italian States, Kingdom of Naples, circa early 1600s.
The second one is more difficult, but I think could possibly be an earlier coin from Kingdom of Sicily, closer to the crusader era. Again, such coins would have circulated in Apulia. Or possibly a small copper coin from one of the Crusader States. I can't discern enough for a positive or likely ID.
A last comment... Sellers on places like eBay often label their coins with terms like "Crusader" without really knowing whether it is true or not, so I would always be careful about such claims.