If you got some job here in Qatar then again your landlord ask to pay for complete period so its better to stay there if your landlord return you cheques then its the best possible solution otherwise it can cause some problem to you in getting EXIT as well.

My suggestion to you is to fnd some job elsewhere in GCC as if you still have Qatar visa you can get on arrival visa of some other GCC country but if you stuck here then it can be really very difficult for you to leave even.