The FBI check has everything you ever did. I've seen those print outs before, and they can do a 'quick screen' that only searches for convictions or a full search that pulls up any and ALL interactions youve had with law enforcement, arrests, court appearance records, etc.
As for the questions you answered 'no' to, reading this leads me to believe you were arrested and never convicted of a crime. So, you dont have to mention them since technically they arent convictions. Being charged with a crime is differnt than being convicted.

