For English-language, we always recommend Memories of a Cuban Kitchen.
Both of my parents are from Cuba and, prior to that, all of my ancestors came from Spain. I live by Mary Urrutia Randelman's Memories of a Cuba Kitchen and make a fair amount of Spanish food as well -- summer basically means tortilla española and tinto de verano. We've been multiple times to visit the parts of Spain that our ancestors came from (Galicia, the Basque country, and Asturias (by way of the Canary Islands)). We celebrate Noche Buena instead of Christmas day. We listen to a lot of Cuban & Spanish music. My sister and I are English-dominant now but both speak Spanish with our parents/extended family. Probably a bunch of other, smaller things.
Super authentic "Memories of a Cuban Kitchen"
https://www.amazon.com/Memories-Cuban-Kitchen-Joan-Schwartz/dp/0028609980
Because others have got you covered on the jerk chicken front, I'd just nice to add Memories of a Cuban Kitchen to the list. Nice cookbook.