Short answers, pulled from the story.
Britain abolished the slave trade under the Slave Trade Act 1807 and abolished the institution of slavery itself under the Slavery Abolition Act 1833. Full emancipation across British Caribbean colonies took effect on the 1st of August 1838, two years ahead of the original schedule.
France first abolished slavery in 1794, but Napoleon reinstated it in 1802. France permanently abolished slavery in its Caribbean colonies of Guadeloupe and Martinique, along with French Guiana and Réunion, in 1848.
Ships carried cheaply made European goods called pacotille to Africa, traded them with African leaders for enslaved captives, then transported those captives to Caribbean colonies. The products of enslaved labor , sugar, rum, tobacco, coffee, and indigo , were then shipped back to Europe. The French called this circuit the commerce triangulaire.
By 1778, the French slave trade was transporting approximately 13,000 Africans per year to the French West Indies and Saint-Domingue.
Death rates consistently exceeded birth rates. In Jamaica the population of enslaved people declined by an average of 3 percent per year, and in smaller islands by 4 percent per year. On Jamaican sugar plantations between 1829 and 1832, the average mortality rate was 35.1 deaths per 1,000 enslaved people annually, and some researchers estimate infant mortality on plantations reached 50 percent or higher.
The Asiento de Negros was a 30-year monopoly on selling enslaved Africans to the Spanish Empire. Britain obtained it through a secret negotiation with France during the Treaty of Utrecht, signed in 1713. The British government awarded the asiento to the South Sea Company, and Queen Anne received 22.5 percent of all profits collected under the agreement.