The way newspapers are especially relevant to your job search today is through the news stories. Keep an eye on the headlines for news of expansions, acquisitions, or other growth opportunities in companies. Growth usually means hiring. You can know about us on various online sources.
Aside from the career-choice advising, I have not heard great stories about career counseling centers and their ability to help you find a job. In other words, I think career counseling centers might be able to help you choose a job, but not able to help you actually get the job you've chosen.
Google+ is a great platform. It's professionally-oriented and good for business. No one can afford to ignore it. It also has a high SEO factor, which is good when you're being Googled by a hiring manager or recruiter.
Twitter has fast response, but not a prolonged response. Things happen fast on Twitter. You'll only get whatever it is that you put out that day. It's great for contacts, but you have to keep up with it to make it work for you. Lots of companies and recruiters Tweet that they have a job opening available, but you have to be able to respond fast.
Pinterest is great for any field where you use photos to show your work: graphic designer, cake decorator, party planner, event planner, and tailor… any career where you can visually show off your stuff is suited for this.