It was a really fun game. Took me reading through all of the hints except the last one, but I got the answer eventually. Like the hints said, I managed to find the culprit once I realized who had to have lied for the second closed room to be constructed, and then I managed to get through the first closed rooms as well by checking the culprit’s statements for a weak point. The third murder was a little harder, since the solution I had in mind didn’t quite fit the options provided, but I eventually managed to guess it. Funnily enough, the clue pointing towards the solution didn’t even cross my mind. The system for solving the mysteries was really fun, especially the one for the first murder, and the sense of accomplishment I felt once I submitted an answer and no text popped out telling me that I was wrong was probably the greatest one I’ve felt in a while.
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I thought that it was possible that the culprit screamed instead of the victim, and took advantage of the panic it caused to run over to them and kill them, under the guise of seeing what happened. Who got to the body first wasn't made clear, I think.
I wrote down the train of thought that led to me solving the murders here: https://docs.google.com/document/d/15MobEUaJRZuDApsJfi936hlrjNZdPIxFLAlCjtVFDa8/...
Interesting. I kinda thought the narrative itself got around that idea, but I can see how you could slip through the purples, at the very least, if you assume a certain person is the culprit. Might tighten up the purples a bit to disallow that option completely.
Looking at your reasoning, it's also good to see that the intended hint on the third murder worked!