I think this is what happened:
On the very first day, before I went to the bar, the murderer came to the entrance and picked up the box of Rotigotine into the bar.
On the third day, the murderer quickly cut off a branch from the date tree.
Apparently Ritogotine plus dates equals swallow-puke queasy. spongy then came into the room and drank the Ritogotine with no other thought. he knew that he couldn't puke, so he went to the fridge to see if he can stop this uncomfortable disaster. When he opened it up, the murderer shoved spongy into the freezer and locked the fridge.
I think needy did it again.
that means, this all happened before coiny challenged needle to a game of sorry.
TD drew a picture of her and Woody to forgive of the tough times in the past. She didn't know where he was, so she went to the library. She didn't know that the murderer set a trap there , and the ceiling was lowered and a rope caught on TD's body. Then the murderer came in the room (lowwering the celing again but not killing him/her beacause there was only one rope) and sawed TD's limbs off. TD cried of the pain before she choked to death. the murderer then put the saw in GB's copy of BTAT, found in one of GB's hiding places from Snowball.
THINGS JUST TO STATE CLEAR OF THE OTHER CLUES
The read books were from woody's visit to the library.
The books off the shelves were knocked off when Coiny/Needle were getting the Sorry gameboard.
I think the killer is needy