This was a game I used to play about 7 or 8 years ago or something like that. I remember it having the words "inspector" and "suspect" in it's name and being one of those games where you have a list of things and you have to find and click them. Also it was made by big fish games, I think.
big fish games have a ton of mystery games, try finding the closest sounding one here (https://www.google.hr/search?rlz=1C1CHBF...37&bih=777) you'll have to do a bit of scrolling but yeah they have a load of games themed the same