The company won a multi-million-dollar 'contract' to build a new courthouse. = The company was awarded a multi-million-dollar 'contract' to build a new courthouse.
The company 'contracted out' its manufacturing jobs. [=the company paid another company to do its manufacturing jobs instead of doing them itself]
If he breaks the 'contract' [=if he does not abide by the agreement], he will get sued.
(..) and he figured it out. I lied to him to get him to do the right thing and honor his goddamn contract. And you didn't seem to mind so much when you thought I got away with it. But you didn't (..)2011 TvShow: Suits Title: Pilot Season: 1 Episode 1