Help with these parts
 

I know I should know what these are and if I need them, but I am unsure as with them off my car goes like crap.
The first one I think is an air contrrol valve?

then I have some pic's of the wiring and rats nest which I don't think I should have to run as it is single turbo with a power fc, if any one can confirm or give me more info that would be great

There is a pic of a plug on it's own I have never had it hooked up, what is it for? the air pump or something?

any help would be great