Thank you all for your responses.
I'm just at the point where I'm questioning everything, and I don't want to end up sending too much info. I think I have my packet together and will be mailing it this week. Yes, I am including my certified records from that offense, and I am being very transparent and providing all necessary info. I was just considering including my most recent background check as well but wasn't sure if I should.
By various applications, I just mean any kind of application that asks, such as employment applications, housing applications, bank applications, etc.; I am legally allowing to say I have not been convicted of a crime.