Can someone identify these for me?

[blue2turbo]

I just got my car and noticed some leaks from some places, and during the investigation, came across some things that I have no idea what they are. If anyone can shine some light on what they are and what they do, i would greatly appreciate it.

First one, this hose left a puddle on the ground, and I am not sure what it is or where it goes. It is coming out of the firewall behind and below the intake manifold.
From top of engine bay (passangers Side)

From under car (passangers Side)


This is also from under the car, but have no idea what its toPass. Side)


And now I am assuming this is just a Shield for the oil pan, but if I am wrong please let me know know.