TOPIC: Am i eligible for PMP Certification?

So I was looking at different qualifications and i was kinda confused, some places/websites say that I need to have experience. However, pmi.org says:

• Before you apply, make sure you meet one of the following sets of PMP Certification requirements:
  Four-Year Degree
  36 months of experience leading projects within the past eight years
  35 hours of project management education/training or CAPM® certification
  High School Diploma or Associates Degree
  60 months of experience leading projects within the past eight years
  35 hours of project management education/training or CAPM® certification

I currently have a BA in Communications and a dual MBA in Human Resources Management and Strategic Management though I don't have any project management experience.

Seeing as I already have a four-year degree, am I safe to apply for this certification?

Also, is PMI legitimate? One job I was looking at said that they prefer PMP certification from PMI, so I just want to make sure before I spend the money. Thanks!