The only way to find out what comes up on your background is to run a background check on yourself.  I know it sounds odd but really it is the best way to find out what everyone else will find out and to deal with it before you lose a job or something else over something adverse.  You also need to see because may matters can be expunged (erased) or sealed by the court.  Felonies not usually but misdemeanors generally yes.  Remember that not only do you want to seal the proceeding but you want to seal the arrest record as well. Seek some help from an attorney in your area on this.  Good luck.