You aren't at a green card yet. Your petition just got approved. Now it moves to NVC. It's been way over a month you need to call or check your mail you should have got a welcome letter from them giving you case# and IIN to proceed.
Here read the NVC Process Wiki and come back with any other questions you have. You need to understand the process and start getting your documents together.
http://www.visajourney.com/wiki/index.php/NVC_Process
And no NVC has no authority to deny or approve anything they are a document intake facility. Getting all your documents together for embassy and an interview.
You still have about another 2 to 3 months of processes before interview is assigned.
http://www.visajourney.com/wiki/index.php/NVC_Process
You really need to call NVC monday or check your email box see if you got email from their and for sure check your mailbox to see if welcome letter came.
13. Check Naturalization and write certificate #, date of naturalization of certificate, and place of issuance.
14. You're not a lawful permanent resident anymore so this is not applicable to you.
14b. You must check the "yes" box since you got permanent residency through marriage to a U.S. citizen.