oh my god , i think you are working in a good company otherwise no companies will provide an noc for getting a driving license or changing your job
Check this link:
Britishers can directly convert their driving license to a qatari one...
Go to Madinat Khalifa Traffic Dept, take eye-test and you can convert UK licence to Qatari quickly and easily on the day without a test.
WHAT TIME DO THEY CLOSE IN MADINAT KHALIFA ?
goto madinat khalifa police station, driving liv\cence section easy chngeto
I am not sure can convert other than GCC license without any TEST.