Who Is Responsible For Pest Control In A Rented Mobile Home In Jacksonville NC?

It's the responsibility of the landlord. Otherwise you can tell him you well call the board of health and they will more than likely deem the property unliveable.

It doesn't cost much for a few smoke bug bombs so I would go that route so you don't have to deal with fighting with your landlord. Did you inspect the property before you rented? Did you see signs of roaches and ask if it would be fixed before you agreed to move in? If you want to make him deal with it then send a certified letter with details about the unhealthy problem and state in the letter that you are documenting the situation in case you get ill from the infestation on his property. Be sure to take pictures and maybe sent a few with the letter but be civil don't make more out of it. Or just get a few bug bobs and take care of it yourself!