I've had a deep cough since march. Why won't it go away? Zpack & antibiotic tried. My fever went away already however this cough has not.

Not unusual. The fever and infection appear to clear up, but the cough sounds like it is hanging around, which is very common after both viral and bacterial infections that involve the airways and lungs. I tell people to think of what they've been through as if you burned yourself. The skin heals, infection clears or is avoided, but the area of skin is still sensitive for weeks. Same happens in lungs/airways.