Would the FBI or any local Police Department take me if I had a history of depression?

I was 17/18 years old and tried to commit suicide after a series of events happened that brought me to a low point in life (as well as the fact I was on medicine that made it 10x worse). I was twice court ordered to stay in a hospital for about 4-5 days. I got out and went off the medicine and did therapy instead, and got much better. I left for the Army as Airborne Infantry about 15 months later and lied in the application process since I knew I would not have a relapse. Well here I am 3 years later, about to get out next month and trying to figure out what I wanna do in life. I loved the military and did 2 deployments (one to A-stan...just got back 2 months ago, and another to Haiti last year after the earthquake). Both of them I came back fine from, yeah I saw some stuff in Astan that I don't like thinking about, but I don't have PTSD and have never felt a lapse in depression even under some of the stressful situations I've been in. So do you think if I applied to a police dept (or went and got my Bachelors and then applied to FBI) that they would see I was court ordered through a civil court to a hospital stay? Could I lie about that on the app process since it OBVIOUSLY doesn't affect me anymore? I just think it's BS that some doctor that didn't even know my story goes and writes one thing down and my entire life could be changed because of that. So do you think I have a chance or should I look into something else?