There is a lot of good stuff in the sequel that it manages to engage without being prissy or preachy - eternally resonant themes like honor, justice, standing up for yourself, respect, mercy, love, friendship, family (both of blood and of choice), forgiveness, and reconciliation across divides of age, race, culture, geography, and time - and I'll leave it to you to enjoy the story, along with a gloriously bombastic, cheesy soundtrack. Hey, it's the 80s! It's OK!
By the way, don't bother with the rebooted Karate Kid from 2010. Look, I love Jackie Chan as much as anybody, but there's only one Mr. Miyagi, and he is the late, great Pat Morita. Go rewatch the original Karate Kid.