Hi, there. As a fellow reflux sufferer, I would recommend getting your husband to the doc for an endoscopy to rule out stricture of the esophagus or worsening of reflux that's causing hoarseness and/or swallowing difficulty.
As a speech-language pathologist, I also feel a visit to an ear, nose, throat (ENT) specialist is warranted to rule out growths on the vocal cords that could be causing hoarseness and difficulty swallowing. Try to find an ENT who can peform videostroboscopy or direct laryngoscopy to actually get a good look at the vocal cords.
Good luck to you, and keep me posted,