Questions about side quests (Encased)

1. False accusation (Tom washes the punishment cell accused of stealing food)
What should be done? (I thought to look from the air duct behind the dining room, but no one came up)
2. The detective
- gave the task to find about the escape of the orange ones
- found the informer Abner Adamidis at the lab level
- went to the orange showers crept up in stealth but there a couple of books says (you can follow them into the tunnel and go to the cape)