It's only USA airlines that require degrees, Europe / Arabia / the rest of the world doesn't care about degrees so much as long as you have a pilot's licence. The problem with USA airlines is that 1) They haven't hired any pilots for the last 10 years and 2) they also require many thousands of hours in small aircraft before they'll employ you. So that will be your next problem even if you did have a degree.
PIA is a real mess from what I understand, I flew with a lot of ex PIA guys in QR and they certainly wouldn't go back there, so why don't you go talk to one of them about it?
My serious advice to you is go up to the Qatar Aviation College - it's round the back of the airfield, go up Ras Abu Aboud Street towards the construction site for the new airport and you'll see it on the right a few hundred yards past the Marriott hotel - go and talk to them about your options. They're a nice bunch of guys and understand the unique Qatari situation a lot better than everyone else on here giving you well meaning advice.
The fact that you are already in Qatar and you appear to like the place, is already a huge tick in the box for you should you apply to Qatar Airways. They do have an ab-initio cadet scheme for hiring pilots fresh from school and you really really really should apply for that since you're already in country. You've obviously got money in your family since you are studying at the American school, so that would indicate to me that the best option for you would be to go study at QAC for your Qatari pilot's licence, it's JAA compliant so you shouldn't have too much trouble converting it to a regular European or Asian one at some future stage should you get offered a job elsewhere in the world.
Go read
THIS THREAD for info regarding the QR cadet scheme - although there's a lot of guys talking a lot of crap in there too, like most things with Qatar it's a lot about who you know not what you know.
And don't put silly titles about "left" and "right" on your threads - you would have got better information if you had put something relevant as the title.