Hey all, updates on the compressor leak. So i went to Bashir car AC Lahore which is on Mozang road as suggested by @brownrose78. I liked their work, they were overall professional people. Even though I told them it was a compressor leak, they still did a pressure test on the system to confirm it and also checked the ac condenser, which is good so they know what they're working with. Their location is linked here
The compressor itself was repaired by another shop which specialises in ac compressors repairs. Thankfully that shop was just across Bashir car ac 
. I don't remember the shop name, but they told me they always use that guy to fix the compressor. The seal at the front was pretty visibly damaged and hard. So it was no wonder it was leaking so fast.
The compressor was individually tested after that and there were no leaks at all. After reinstalling they again pressure tested the system and the pressure was holding. After that they put a vacuum in the system and filled the ac gas.
I had this done a week ago and the ac is working top notch. Lets see how good it holds up because i did have to spend a small fortune to fix it 
A breakdown of the cost:
Labour charges (removing compressor, condenser and reinstalling): 1500
Compressor repair charges: 2000
Compressor oil: 1000 (ND-OIL 8, as specified on the compressor)
AC Dryer/Accumulator: 1000
Ac gas charges: 3500
