An undocumented immigrant
Illegal resident of a country are often called Illegal Aliens.
Purchasing products from other countries is generally called importing. Exporting is when you ship products out from your own country to others. Illegally purchasing products from another country and sneaking them is is called smuggling.
Counterfeiting
spanophile?
Treason.
That person would be called a missionary. The work would be called missions.
copyright infringement
Someone who comes from another country is typically referred to as a "foreigner" or "immigrant," depending on the context. A foreigner is generally anyone who is not a citizen of the country they are in, while an immigrant specifically refers to someone who moves to a new country with the intention of residing there permanently or for an extended period.
refugees
Someone who betrays their country is called a traitor
Illegally imprisoning someone is called "false imprisonment." This occurs when a person is confined or restrained against their will without lawful authority or justification. False imprisonment can involve physical barriers, threats, or coercion, and it is considered a violation of an individual's personal liberty.
This is often referred to as "Identity Theft"