I had some asbestos material removed from my home by a remediation company and they didn’t perform a final air test. Should I test to make sure there are no asbestos fibers in the air?

Yes. Remediation and Abatement companies are required, by law, to perform a final air test clearance for re-occupancy and safety purposes. It is your right as the property owner to outsource the final air testing to avoid any conflict of interest.