Is it true I am told UPS pays your Insurance premiums
the employee just pays a small yearly fee ?
Had you passed your probationary period and attained seniority as a part-time employee (here in Chicago-Teamsters Local 705), after 1 year you would be enrolled in the
UPS National Health Plan for Part-Time Employees. No premium/annual fee for medical/dental/vision/prescription. There are copays and out-of-network/prescription formulary charges if applicable.
Make any progress on reapplying to UPS? I wish you good luck, but honestly it sounds like you're blackballed-'no rehire' status.