You may or may not be able to accept the original offer if your counter offer is rejected by QP. If I were the HR person, and you rejected the first offer, countered, then said OK I'll take the original offer, I'd have to rethink your commitment to the job/organization - would you jump ship if a better paying job came along?

It's expensive to recruit and hire people from outside Qatar - I wouldn't want to waste that money on someone who might or might not stay.