I have a "Permanent Residency" Card in the United States, would I have any problems moving back after 2-3 years?
I believe it depends whether you have permanent residency (Green Card) or whether you have US citizenship .... if you only have a green card it entitles you to live and work in US , and assumes you are resident in US.
If you don't have US citizenship and stay out of US for longer than a year, you may have your Green Card revoked .
If I am mistaken I am sure someone will correct me !