Pretty cool concept you could build up on I think, sad that it only was one level. I could imagine much more suspects or different Places for one case. Overall, and especially for a game jam, well done!
I absolutelly understand what you're talking about. I started developing on thursday night and was steuggelikg a lot with finding enjoyable puzzles, which are not too hard or too easy.
But I think for that short time you came up with a pretty good mechanic and iconic idea!