This one is quite simple. The jigsaw puzzle is easily solvable (the missing piece is under the box), and the only "difficult" question is how many spots are on the ox's socks. There are eight (8).

When it comes to the painting robbery, Stephanie is the culprit. The evidence chain I used goes as follows:

Newspaper
Photo of the Crime
Stephanie's Fingerprints

For the question of "who did it," the answer is Coulter P. Awning. The evidence chain I used is as follows:

The first photo (where Coulter Is absent)
Coulter's "awakening day" card (the handmade one)
The threatening note

The detective will then ask you if you think that he had an accomplice. Answer "yes," and then select Mary McQueen. The evidence chain I used is as follows:

The property damage report
Mary's note to Glen (the one written on pink paper)
The receipt

The detective then asks if there's a way to prove if she simply didn't drink it. You don't really need a "chain" for this one, just select the 23 Tenets of Veneratology. You'll then be asked to circle the relevant tenet, which is number 15.

The detective now wants proof of Aloysius ordering the arson. Link Aloysius' letter mentioning tenet number 5, and the 23 Tenets again.

At the time of writing, I am unsure of how to determine the Hedonist's name.

The Hedonist's Daemon is Ploutos, Daemon of Wealth. You can confirm this on Day 2, with the following evidence chain:

The receipt from Medea Art and Crafts supplies
The receipt from Earnest Ernie's Pawn Shop

At the time of writing, I am unsure of how to determine the Tyrant's name.

At the time of writing, I am unsure of how to determine the Tyrant's Daemon.

At the time of writing, I am unsure of how to determine the Scion's name.

At the time of writing, I am unsure of how to determine the Scion's Daemon.

The Dreamer's name is Deborah Raymond. You can confirm this on Day 2, with the following evidence chain:
The letter from Academania Publishing
The armadillo painting
The Academania catalog

At the time of writing, I am unsure of how to determine the Dreamer's Daemon.

At the time of writing, I am unsure of how to determine the Revenant's name.

At the time of writing, I am unsure of how to determine the Revenant's Daemon.

At the time of writing, I am unsure of how to determine the Laborer's name.

At the time of writing, I am unsure of how to determine the Laborer's Daemon.