Arrests on your rap sheet are usually not a topic for job interview, but felony convictions are an appropriate question in some circumstances. You do not state what state you are in so no further observation is possible.
Using the written documentation you have is a good place to begin. Contact a local lawyer - many may give you a free consultation - to discuss your specifics. Far too many variables exist in the short post you wrote for any further observation by me. Many labor law attorneys have information posted here on Avvo.
You might find my Legal Guide helpful "How to Choose A Lawyer For You"
You might find my Legal Guide helpful " What Do I Tell My Lawyer"
No one can know what the record is in the case because online we cannot see your job application documents. You need a lawyer to protect your rights. Check with a lawyer in your locale to discuss more of the details.
Good luck to you.
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