Technicall and legally no issue as you have residence under your father sponser ship. and you are there in UAE a student. so no issue in having new sponser ship for job in qatar.
This willl be only [problematic if you are having sponser ship in UAE from some company and doing some job, even then this is not a problem for working in qatar, only problem in this case you can face in re entry into UAE unless you cancell your job sponser ship.

Otherwise in your present case there will not be any issue in having two resdents.

Procedd with full confidence.