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Mr. Haber gave you the correct site. I would hesitate buying a gun based upon the fact that you were convicted of a crime which the United States has deemed a felony. I do not do federal work so I do not know if your DUI is a felony under federal law but hopefully a federal lawyer will opine.
Please be advised that answering your questions does not establish an attorney-client relationship with myself or my firm.
Under the Gun Control Act of 1968 the Attorney General could restore your gun rights. The Attorney General assigned that right to the ATF. Unfortunately, because they currently have no allocated funds for that program, it's a bit of a farce. No applications have been processed. Until funds are allocated, ATF will not process any applications. Your only option at this point is a Presidential pardon, sorry. I suggest you occasionally BATFE's website to see if their funding situation changes.
As for whether you can get your Captains license, I'm sorry I can't speak to that. I would suggest you contact the licensing agency and inquire with them. Good luck.