First of all try to dry him and keep him warm. Wrap him in a blanket, give him a warm water bottle or sit him in your lap. It is adamant that you keep him warm. A sick bun that gets cold can go into irreversible medical chock.
If your bun has true diarrhea, i e ample amounts of very loose stools and no formed fecal poops, the condition is very serious. Antibiotics can cause diarrhea in some rabbits and what it means is that the antibiotics has killed off the good gut bacteria, and bad bacteria have been able to take over.
If your bun is in a poor condition ER vet care is definitely needed. Vetlexicon says this:

This means he will need fluids, warming up, an antibiotics that can kill bad gut bacteria (metronidazole), probiotics to help restore a healthy gut microbiota and a drug to neutralize the toxins the bad gut bacteria produce (cholestyramine).
Of course stop the azithromycin. Don’t cut out pellets.