Depends what you mean by "busted." If you have been convicted of anything then it will show up on a police criminal record check, which is what employers use. It won't show up if you've received a pardon so long as you have requested in writing that your fingerprints be expunged from the system (run by the OPP).
If you were arrested and/or charged but never convicted, then it won't show up.
What your employer does with the info is up to them. If they use it to screen out candidates to get their applicant list down, you're probably out. If they have a higher tolerance (or lower # of applicants) then they may view it as a minor conviction, something like DUI, and hire you anyways.
It is illegal for an employer to ask you if you have ever been charged with a criminal offense. They can only ask if you have been convicted.
Border guards can ask you whatever they want.