Ladybug13

Seems like you did everything right. Confirmation for I-865 can take 4-6 weeks. Just like any notice from USCIS.

no problem especially if you dont have any pending case
my friend just filed AR-11 2 weeks ago and she also didnt get confirmation email 
 

We didn't update the tax forms since we hadn't filed yet when we had our interview. If you filed for 2022 and it's easy to bring updated forms with you, it wouldn't hurt (but I don't know if they would require that). Otherwise, just print and bring all the documents you submitted to the NVC (original and translated). I got a job between submitting NVC docs and the interview, so I brought the job offer letter from my employer and they seemed glad to see that. One thing to check is that your ARC number is fully printed on the family relation certificate - mine was only partially there with a bunch of *'s and we had to run across the street to the gov office to print new ones while at the embassy.
 
For the interview, get there a bit early if you can, bring your embassy appointment letter (the email they send you) to get in, head up to the second floor and check in and wait. They'll give you a list of how they want you to order your documents for the first step. Everything is done right at the second floor counter and the people there are super nice and professional. We were there about an hour and a half, most of which was waiting. They asked my wife a few questions about why we were moving and what our plans for work were, and then we were done. We had our 2 yr old with us, which I think helped get a little sympathy, lol. 
 
Hope that's helpful, let me know if you have any other questions! 

*** Removed related thread in a different sub-forum.  Please post your related questions in this thread to keep the discussion in one place. ***
 
 

Available
Fees:  Free
Document Name:  Certificate of Military Service “Byungjeok Jeungmyongseo”.
Issuing Authority:  Certificate of military service in English is issued by competent government offices, regional offices of military manpower, ward offices, city halls, Myun offices, Eup offices, and Dong offices throughout the country.
Special Seal(s) / Color / Format:  It is generally printed electronically with an official seal of the chief of the issuing office, and on a white paper.
Issuing Authority Personnel Title:  The title of the chief of the issuing office is printed with his/her official seal.
Registration Criteria:  A Certificate of Military Service “Byungjeok Jeungmyongseo” is usually issued to people who have finished their military service. It contains details about one’s military service, including information such as rank, military classification, military ID number, category of service, branch of service, date of conscription or enlistment, date of discharge, and reason of discharge. This certificate is also available to people who have not served in the military and states that there is no record of military service.  Please note that conscription in South Korea has existed since 1957 and requires male citizens to perform compulsory military service with few exceptions.
Procedure for Obtaining:  Individuals can apply for the issuance of this certificate with a Korean ID at an issuing office in person. Qualified family members (parents, spouse, children, siblings, etc) may apply on an individual’s behalf and they need to bring their Korean ID, and a family relations certificate. A third party can only apply with a power of attorney and needs to bring his/her Korean ID, and the applicant’s Korean ID. Individuals can also apply for the issuance of this certificate online at “Jungbu24” by using “Authentication card”, but they must pick it up at an issuing office they have designated.
Certified Copies Available:  Certified copies are not available.
Alternate Documents:  There are no alternate documents.
 
 
https://travel.state.gov/content/travel/en/us-visas/Visa-Reciprocity-and-Civil-Documents-by-Country/SouthKorea.html
 
 
To my understanding some medical exemptions still lead to completing some sort service. 
I have friends who served with schools, medical centers and the police department in order to complete the mandatory military service. 

I'm not from South Korea, but I used to go back and forth on ESTA quite a bit when we were waiting for my K1 visa to come through.  I never had a significant amount of cash on me, and I was never harassed about it at the border.  There was only once that I was pulled into secondary when two of my visits were a little too close to each other, but when I explained our situation and that my job back in Switzerland gave me a lot more flexibility in terms of overtime - time off than my now wife's, I was fine. 
While there is no guarantee of admission for any non-citizen ever, your husband seems to have a good chance with his proof of ties that you mention.  
On another note, since processing times are so long, you might want to look into filing sooner than this summer, but that's ultimately up to you. 
 
Good luck with everything! 
 
PS: There are regional subforums too, so maybe you have a better chance of getting a response from fellow Koreans there.