Surely your options would be to:
a) hire an examiner and privately renew your IR at your own cost (if your aviation authority allowed you to do so - I know of a lot of aviation authorities who do).
b) ask QR to postpone your start date until after Feb 2017.
It's a conversation you need to have with Qatar I think... I know of a couple of people who were in similar positions and either asked or were told to start at a later time.