I want to be a state trooper, but I have a troublesome background. Do you think I should go for it?

Most background investigators or those that hire police officers would probably not consider you. Some of what you've mentioned would be cause for automatic disqualification with some departments. If the Surgeon General would've cleared you, and you ped a department's medical and psychological examinations, then you might not automatically be disqualified, but departments would still be hesitant to hire you. It might not hurt to wait a few years and apply with a department or two, but don't get your hopes up. Getting police officer jobs is becoming more and more competitive. There will likely be plenty of candidates with as much education and qualifications as you that don't have the negative history that you have. There are many other jobs that you may be more suited for that would also allow you to serve your community. Minister, youth or adult counselor, or teacher are just a few that come to mind. Best of luck!