Is this the proper order of honorifics when Introducing?
나는 의사야 ?이야?
나는 의사다
나는 의사예요
저는 의사입니다

Question

Is this the proper order of honorifics when Introducing?
나는 의사야 ?이야?
나는 의사다 
나는 의사예요 
저는 의사입니다

Answer

Yes, that is proper order of honorifics to introduce you are a doctor.
It is correct when you say  "나는 의사야"." 나는 의사이야" is not good expression.

Answer

I think "저는 의사입니다" is the best expression with  the Korean honorifics.