The FAA is beginning to notice, as well, as Barq retains US aircraft registration....for now.
I am told FAA inspectors are to visit them shortly for a close look-see, because....they have no valid lease agreements filed with the FAA for US registered aircraft used by a foreign air carrier.
PS:
FAA-licensed crew, who might fly these airplanes for Barq, had better have a valid FAA proficiency check within the last twelve months, otherwise individual certificate action (suspension or revocation) could result.
Not a happy thought...