Hi,
Yes requirements change a lot. QR usually recommends you to have a regular look on their page.
Lately, they are mainly interested by type rated pilots (meaning with 500h on type). Mainly means that you you donīt have a good contact in the company, it certainly applies to you. In the past they accepted non-type rated but that is not the case now, except for 777/787 (I think they require a Boeing type rating, but check the webpage).
Transfer from Qatari to any other ICAO license will depend on the country of your other license. Even for european licenses, the processes are not the same on every country.
Regards