Welcome to NES. Lots of good people here with good info...
what is the violation and what the hell is accelerated rehab? Getting out of jail early on good behavior? or drug abuse rehab? Is the violation a statutory disqualifier?
What state do you live in? Laws vary greatly between states.
If you live in MA, the questions can be a little tricky but it's not rocket science. Just don't lie because they will catch you.
Any arrest for which you were fingerprinted WILL ABSOLUTELY 100% POSITIVELY SHOW UP!!! Sealed record? Doesnt matter! You still have to acknowledge it.
Here are the disqualifiers in MA: (BTW, there's nothing stopping you from doing a little research youself on the google machine. Go to mass.gov on the interweb and type in "gun laws" under search and a ton of information straight from the horse's ass er mouth magically appears for your perusal...)
i) has, in any state or federal jurisdiction, been convicted or adjudicated a youthful offender or delinquent child for the commission of (a) a felony; (b) a misdemeanor punishable by imprisonment for more than two years; (c) a violent crime as defined in section 121; (d) a violation of any law regulating the use, possession, ownership, transfer, purchase, sale, lease, rental, receipt or transportation of weapons or ammunition for which a term of imprisonment may be imposed; or (e) a violation of any law regulating the use, possession or sale of controlled substances as defined in section 1 of chapter 94C;
(ii) has been confined to any hospital or institution for mental illness, unless the applicant submits with his application an affidavit of a registered physician attesting that such physician is familiar with the applicant’s mental illness and that in such physician’s opinion the applicant is not disabled by such an illness in a manner that should prevent such applicant from possessing a firearm;
(iii) is or has been under treatment for or confinement for drug addiction or habitual drunkenness, unless such applicant is deemed to be cured of such condition by a licensed physician, and such applicant may make application for such license after the expiration of five years from the date of such confinement or treatment and upon presentment of an affidavit issued by such physician stating that such physician knows the applicant’s history of treatment and that in such physician’s opinion the applicant is deemed cured;
(iv) is at the time of the application less than 21 years of age;
(v) is an alien;
(vi) is currently subject to: (A) an order for suspension or surrender issued pursuant to section 3B or 3C of chapter 209A or a similar order issued by another jurisdiction; or (B) a permanent or temporary protection order issued pursuant to chapter 209A or a similar order issued by another jurisdiction; or
(vii) is currently the subject of an outstanding arrest warrant in any state or federal jurisdiction.
EDIT: I just realized this is in the the CT laws forum so you can take my post with a giant grain of salt.