Getting a federal job?

Two years ago, I got discharged from the Navy. They said that I had an anxiety disorder as well as a depressive disorder. Immediately after I got discharged I went to see a psychologist and he evaluated me. He came to the conclusion that I actually had none of these issues and gave me a written assessment of his evaluation. As of now I have a little over a year left of school and I will be getting my bachelors in computer science. I am also learning arabic, as well as russian. I have had a clean record, and I am actually seeing that same psychologist so that he can write another assessment to whomever the feds choose to evaluate me saying that I have no issues upon further evaluation. I have had only experimental drug use, only with marijuana which I have done twice in my life. Other than that, no issues except for seeing the doctor who evaluated me as well as another psychiatrist who also evaluated me. The truth is I want to put my skills to use either with a military branch or with the NSA, CIA, FBI etc. I want to serve my country and I am curious if it is at all possible for me to get into any federal service?