Odds of Getting In
Since there's no shortage of crime, your odds of getting some type of job in the criminal justice field are high. As for your shot at becoming a correctional institute administrator...well, that all depends on how committed you are to staying in the field and how well you develop your skillset over the first several years of your career.
CIA jobs are definitely not entry-level jobs. If you decide this is the career for you, then you'll need to spend several years working in the system to learn its ins and outs before you can even think about mapping your path to your dream job. Take advantage of on-the-job training and the tuition assistance some states may offer.