The Question and Answer section for A Study in Scarlet is a great resource to ask questions, find answers, and discuss the novel.
From the text:
Every time that I closed my eyes I saw before me the distorted baboon-like countenance of the murdered man. So sinister was the impression which that face had produced upon me that I found it difficult to feel anything but gratitude...
You are correct, Holmes is never happier than he has made a discvoery or put together clues..... he is never happier than when he has a case to solve.
False- the short story has to aim directly at its climax.