The problem you have is that all employment in this nation is "employment at will": you have no right to a job, but only have one if the employer wants you to. The employer is free to decide you are "not qualified" for the role for any reason that is not illegal discrimination--and there is no law making it illegal to refuse someone a job (or consider them unqualified) due to *any* past offense, include disorderly persons offenses. They are free to decide that this disqualifiess you from employment, and there is nothing you can do about it.