To Answer your questions.

1) All Universities / Collages in Qatar are either US or UK Universities having branches (most of them are US based).

2) It is costly in terms of pricing (unless you earn at-least 50000 QR a month). At the price of 1 Year of education in Qatar, your child can finish off whole Engineering in India.

3) Degrees (specially medical degrees) are not recognized in India and Vice Versa. Either ways your child has to take up an exam before starting practicing.

Finally, if you plan to send your kid to India for further studies, make sure she gives her 12th exams in India coz as far as i am Informed, if the 12th exams are given outside India, you will have to enroll your child under NRI Quota.

Hope that helps.