Did I write this correctly?
I am working on a fan letter that I want to send to a Korean idol and was I wondering if I wrote this correctly.
안녕하세요! 자는 암버예요고 아미는 미국서 웠어요(I'm Amber and I am ARMY from America).
I want it to sound natural while also being polite. If I should say this in a different way, please show me how I should say it. Should I say 자는 암버십니다 since he is a celebrity? Or Is the way I put it before okay even though its more informal.
Also, bonus question: If I were to say 'fan letter' it would be 팬 편지, right? On Naver I saw a translation as 팬 레터. Is this a common way to say 'fan letter'?