Pataka (ID card) is just a sign that shows your visa type and your validity. If your brother has done finger print and got the resident permit stamped on his passport (obviously he did as he stayed in qatar for 1 year), then it is very clear that he got RP in qatar. So there is no point of talking about pataka alias ID card.

If he left the country by resigning and they cancelled his visa, he is not allowed to get in to qatar for 2 years. If not (not cancelled) he needs an NOC from his previous sponsor.

(Please do note that i may be wrong as you are talking of blue visa)

wait for other QLER's to respond.