2: "Enjoyment" could be hedonism:
living and behaving in ways that mean you get as much pleasure out of life as possible, according to the belief that the most important thing in life is to enjoy yourself [Cambridge]
The doctrine or theory of ethics in which pleasure is regarded as the chief good, or the proper end of action. [OED] [probably paywalled]
These definitions don't mention sex specifically, but sex-for-pleasure is definitely hedonistic.
A word for (1) is more difficult; even the Catholic Church, which views sex without allowing the possibility of procreation as sinful, doesn't mandate procreation as the only end. It can be enjoyable too.