@lims_analyst. I cannot access the link you provided. AFAIK there are only certain types of visa which you can check online. Other than that, A VALID WORK VISA could not be checked online unless you are the employer/employer representative whereas you have access on your existing company visas.

Your situation is very different from Misri Frances. You never entered Qatar and you did not use the work visa which was issued to you. Your ENTYRY VISA was automatically cancelled and due to that your WORK VISA was automatically cancelled too because the work visa that was issued to you was never used.

Therefore you are not eligable to the 2-Year Work-Ban. You are free to come to Qatar and work here anytime.