1. Yes. Though your divorce records would not show up on a background check or any form of police inquiry into your arrest record, divorce files are generally public record and available for inspection upon request. You do have the option of asking the court to seal the record if it contains information or allegations which are false and could harm your reputation. Generally I have found that courts are amenable to sealing portions of the record which contain outrageous allegations when their truthfulness is at issue.
2. It is pretty hard to tell if a record was successfully expunged if it was expunged. The reason is that if a record was expunged then you shouldn't be able to find it. So the easy answer would be to contact the clerk of the court and see if they can find your record. If they can, it probably hasn't been expunged. If they can't then it probably has. You can also contact your old attorney and ask them to pull your file to see if an expungement order was ever done. Finally, you can also run a criminal history on yourself to see what turns up. There are several sites online that offer this service, or you can check out your state site that describes how to accomplish this...
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