Question details
Now that I received my GC through employment, does my employer need to change my position to the one filed in the Labor Certification?
Yes, now that the GC is approved, your employer should "permanently" give you the job described (including the title, salary and job duties) in the Labor Certification. This change should take place within a "reasonable time" after the GC approval.
Keep in mind, "permanent" does not mean forever. This term describes a job that has no pre-decided termination date. We see no violation of the law, If the employer, due to economic or other circumstances, can no longer support the job after having offered it to you in good faith.
After a bad experience with a prominent NY law firm dealing with immigration, I came to this site. I was initially skeptical because the firm was not based in the city I work and live in but the promptness of getting the paperwork done, the willingness to answer doubts whenever they arose and reassuring me about my status when I had to leave the country on a sudden emergency back in India- all of these point to an organization and its people who clearly are the benchmark I would use for any professional service rendered in the future. Great job! Thanks.