How do I carry this much responsibility and still sleep?

You have too many cases and not enough hours. That part is true and you cannot wish it away. What you can control is smaller than the whole weight you're carrying — it's the next hour of work, done well. Here is the trap: you think staying awake with a case proves you care. It doesn't. It just makes you worse at the next case. The person's freedom was already decided by the facts, the law, and your best judgment. Replaying it at 2am adds nothing but exhaustion. You are not carrying this alone, or you shouldn't be. A team exists so that no single person holds every case in their chest all night. Use it. Say the case out loud to someone else. Let the weight move from your private mind into shared daylight, where it belongs.