You are applying for a job which requires the strictest level of confidence as you will have access to extremely sensitive data in your position as a dispatch operator.
I'm sure you read that one of the qualifications required for employment will be the ability to receive and maintain an enhanced security clearance issued by the RCMP.
Generally speaking you will be subjected to a thorough background check where they will go through every aspect of your life such as those that you have listed. I cant get into any further details as to what is required but here is some publicly available information that is available on security clearances:
Personnel Security Standard
Generally speaking a pardon will/should not show up on your records. However, during the investigation of your background as well as the interview process they may ask about whether or not you have been convicted of a crime previously. I'm not able to say for certain but there is a chance that this may or may not affect your employment with a government agency. I would suspect that it would be based on what the offence you committed is.