Very cool idea. And, I don't mean any offense by this, but the graphics are hilarious. You got a real good chuckle out of me on a few occasions, so kudos for that. Murder Mystery on a time loop is a great idea too, though indeed stretching the theme as you note.
Either way, fun game. I was not able to find the proper clues to find the murderer in my first attempt, which was prematurely cut short because I accidentally hit enter instead of 'e' when I meant to talk to someone. I may go in for a second loop later though.