Hi,
YES U CAN!!!!!! U can continue with the same visa… but u cannot sponsor ur huby (in pending) if he not a RP holder of Qatar. I have an Indian friend both (girl & boy) are under their fathers sponsorship, they got married & they did not have any problem. When they had their first kid Immigration wanted a NOC letter from both parents Employers for babies RP. That’s it…..
Good luck & advance wishes