Thank you for the clarification.
Since he has disability, by law they have to take him back as an employee, right?
Response 1: No, the employee does not have to take him back.
Also, ending the health insurance and going on COBRA, does that jeopardize his going back to work.
Response 2: No, it does not if the employer still wants him to come back to his position.
Also aren't they required to pay their share of the medical cost?
Response 3: No. There is no employer contribution to COBRA. That's why COBRA is very expensive.
My friend H lives in New York. Doesn't Obamacare and/or is there a federal statue that prevents employers from not paying their share of health insurance?
Response 4: No, under the conditions that you have described here, the employer has no duty to pay for his insurance.
Instead of going to COBRA, it is prudent to go to your state's website for Obamacare or Healthcare.gov to see if you can get a less expensive coverage for him.