I need pro tips on how to better showcase my skills and experience

Thank you for taking the time to read my post!

Here's my background in chronological order:

1. I received my BSN from the Philippines in 2006.
   
2. Migrated to the US right after that; did not take the NCLEX cause I was unsure what to do with my life at that point.
   
3. In 2010 I decided to join the US Air Force, but since I didn't have my license and I wasn't a citizen back then, I could not practice nursing so I enlisted as Cardiopulmonary Technician.
   
4. In 2012 I was assigned in cardiology department were I did EKGs, stress test and cardiac sonography.
   
5. In 2013 I became proficient with cardiac sonography (echo) that I did that for 2 yrs.
   
6. In 2015 I was assigned in Cardiac cath/EP lab, where I assisted cardiologist with diagnostic coronary angiogram, pacemaker/crtd implant and EP study and ablations.
   
7. In 2016 I challenged NCLEX and passed (10 yrs after being out of school)-- and became an RN.
   
8. I was deployed as a Respiratory Therapist from July 2016-Jan of 2017 to Niger Africa as part of the Air Force field surgical team.
   
9. In Feb 2017 I passed my Respiratory Registry.
   
10. Currently, I am the manager of cardiology services in an Air Force base.
    
11. Getting ready to challenge the cardiac sonography boards in December.
    

The thing is, I am separating from the Air Force in March 2018 so I applied for a med-surge position in our local hospital. I was asked for an interview and the hiring manager seemed eager to get me on board. She offered a 3 hour shadow to get the feel of the department, which I thoroughly enjoyed. The following day she called and asked what I thought and I said I was very interested to be a part of her team. My application was then forwarded to the recruiter and everything seemed going well. I had my employment verification, background check and my reference input done and was getting scheduled for the orientation only for the recruiter to turn around and said "they did not catch the fact that I didn't have nursing experience".

"They will call me back" was the last words I heard from them.. I have emailed the recruiter to follow-up on my progress but no response as of late. I went to the company's website and on my profile, under the job title that I applied for, it said "not selected".

I felt bummed... I know I don't have nursing experience.. but I have been working in the medical field for 8 yrs..

I just need some input.. Thank you!