Have you tried going to a university's engineering job fair in your area? You could go to the job fair, drop off your resume to bunch of companies at the same time. Its a good way to get to talk to lot of companies in one room and find out what they are looking for. They are usually there recruiting people from that university, but hey, just tell them your situation, and the least they can do is carry your resume back to their HR department.
If you want to go into graduate school for EE, you have to ask yourself what field you want to specialize in. Computer jobs are the most prevalant technical jobs out there, from IT to computer engineering/science. So if the economy goes up and down like a roller coaster, its usually the computer people that get fired first. However, if you're real good at what you do, then no worries.
But don't go into graduate school (MBA/MS) thinking you'll have a better chance of finding a job - thats never a guarantee.
You take EIT first, then work and gain experience for 5 years (I believe), and then take the PE. As far as I know, PE just allows you to acquire the higher rank of engineer - most companies won't allow you to become Chief/Principal engineer without PE. But for your case, you can't get PE until you take EIT and have been working for 5 or whatever long years.
So in summary, my two cents is to find out when a local university is having an engineering job fair, and go to that.