So... is Renai Boukun finished or not?
NO, it is not finished.
Why?
The anime finished before the manga:
Anime finished: June 23, 2017
Manga finished: December 05, 2018
MangaUpdates contains information about the anime adaptation and indicates that it is incomplete.
Watching Order (by release date)
Here you have all the anime relations we detected ordered by release date, so you can see the reason for this status in context and also use it as watching order.
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Synopsis
Seiji Aino's life is turned upside down when Guri, a self-proclaimed cupid, barges into his home and demands a kiss. It turns out Guri possesses a Kiss Note, a powerful artifact that forces anyone whose names are written together to kiss. Due to a comical mishap, Seiji is now entangled in Guri's affairs, threatened with eternal virginity unless he quickly finds a partner.
He sets his sights on the popular Akane Hiyama, but her affections turn out to be far more intense and possessive than he anticipated. Through a series of chaotic events involving the Kiss Note, Seiji finds himself unexpectedly coupled with both Akane and Guri.
This new arrangement forces Seiji, along with his newfound romantic interests, into the world of matchmaking, working alongside Guri to pair up other people. Failure to do so comes with severe consequences, all while Seiji navigates the increasingly bizarre and complicated dynamics of his new reality.