The next puzzle you need to solve is in the Portico. Examine everything in the Portico carefully.
You may enjoy my Hadean Lands invisiclues.
Regarding the things you’re trying to do:
#1 won’t have to wait long, once you solve the puzzle in the Portico.
#2 and #4 will have to wait until after you’ve done #1.
#3 is impossible.