Does the combination of serious cases and humour work? Yes, for the most part.
If you don't like the Japanese style of comedy and typical Japanese acting, then this show is probably not for you.
There are a few scenes when the slapstick comedy is a bit too much for me, but I thoroughly enjoyed the puns.

Things I liked:
* The cases are not too simple -- although the clues are usually quite obvious, it's not always clear on the details, so they stay interesting.
* This does not matter actually, since the main point of attraction are the lawyers and their team of paralegals and how they interact with each other.
* Especially Miyama and his "boss", Sada, who absolutely do not like each other at the beginning, start to respect each others strengths, even though their professional ethics differ.
* Regarding Miyama, the show manages to balance on the fine egde between making him eccentric and unlikeable -- usually landing on the side of eccentric. I think the humour in this show makes his quirks endearing rather than obnoxious.
* A huge plus is that there's no romance plot. Yes, there are two people with enormous crushes on another person, but these are only played for laughs, and it's very clear that the other party will never be interested.


One minor thing I did not like as much: The prosecutors' side stayed too one-dimensional; I would have liked more development for them.

Recommended!