Is it necessary to cancel present visa in one GCC country to get anohter GCC visa?
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no need to cancel if you have a difficulty / issue , go ahead with your plan.
It is not essential. I know people who had valid visa for saudi and still they could enter in Qatar.
Yes you will have to!!!
you can only have 1 valid GCC residence visa, you need to cancel your UAE visa. "not ready to cancel visa" is the meaning of you want to break a contract/abscond. wait 4 month before your contract finishes, apply for jobs and get your uae residence canceled in time to get your entry visa to qatar.