Only the sponsor can cancel the QID. If he agrees to do so, he will give you a printed documents issued by the ministry with all details of your QID. This can be done through the system and right in the office. You will need to submit this document at the airport at the time of exit along with your QID. Keep a copy of this document for your record. Please note you cannot come back if your visa is not cancelled. Should your current sponsor refuse to cancel your visa, you can seek the help of National Human Rights Committee.
As for your new employer sending you a visa, I doubt it very much.