Ofcourse pray for yourself and the whole Ummah. That was the Sunnah of Rasoolullah . Thats how the Imams make Dua in the mosque and thats how we should be praying even in our private prayers. I have never heard of any type of prohibition on making Dua for others. More knowledgeable can correct me if I m wrong. Rasul Allah (sal Allahu alaihi wa sallam) said, “He who supplicates for his brother behind his back (in his absence), the angel commissioned (for carrying dua to his Lord) says: 'Ameen, and it is for you also.'” [Sahih Muslim] Also when one makes Dua to Allah he/she should ask for Jannatul Firdaus. A part of a lengthy Hadith: ".....so if you ask Allah for anything, ask Him for the firdaus, for it is the last part of Paradise and the highest part of Paradise, and at its top there is the Throne of Beneficent, and from it gush forth the rivers of Paradise.” Bukhari (Book #93, Hadith #519)