I've suffered from the h-pylori bug. I had it diagnosed after an endoscopy/colonoscopy through my own doctor. I was given a course of anti-biotics (can't recall the name, sorry). I'm not sure how iodine would help with h-pylori, iodine helps with lots of ailments but you need to do some research on it first. You could try visiting the Iodine Supplementation Support Forum here at Curezone. I'm sure they could help answer some of your questions too.
Here is a useful link which may help answer some questions about h-pylori bug.