The majority of black African slaves wound up in Brasil, Jamaica, the Dominican Republic/Haiti, Colombia, and Cuba.

The majority of Mexicans do not have black African heritage; but some do in some areas. A lot of Mexicans and people from central and South America are of Indigenous and Spanish descent, or Spanish and descendant from other European countries. The Spanish and Portuguese who are of Moorish descent are Caucasians as the Berbers and moors from North Africa are Caucasian.

Yes there are different terms used in Latin American countries for someone's heritage.