So just as a starter: If you liked season 1 of Love Sick for it's story and music and the cute and sweet moments as well as the comedy scenes, then season 2 will definitely be a good choice to watch.
Story: The story of season 2 finally resolves some of the issues and problems which came up in season 1. How exactly...that would be a spoiler ;D For me, season 2 seemed a little bit more mature and detailed than season 1. Also the producers finally decided to concentrate on the main couples and only show some scenes (for fun and entertainment) of other couples and storylines (still if you only like one couple or so, you're gonna end up skipping a lot).
Season 2, It goes a little bit away from the 'just romance' feeling and connects different elements of life with the romantic and friendship relationships between the characters. Nevertheless, season 2 is just as sweet as season 1.
Acting/Cast: The casting choice, I think, is perfect. The acting...maybe not so much. It is definitely better than season 1, especially in later half of season 2. You can see how the actors and actresses learned and became better at acting. So compliments to the cast :D
Music: I've never seen a show or real life, where the songs are sooo accurate to what someone is feeling...I love the music in Love Sick but sometimes I just have to laugh when I think about how they always seem to find a song which resembles their feelings exactly to the point o.O XD Still the music itself is great, catchy and suitable for the show.
Rewatch: Oh, I'm soooo gonna rewatch this!!! XD
So overall, if you get over a little bit of awkwardness and some annoying characters (I think there is no one who watched the show and didn't find at least one character they don't like) then I definitely recommend watching this. The story itself is definitely worth it!!!