None what you describe is normal. You can either take into an Apple store where they'll swap out for a new one, or call AppleCare and get one in 2-3 days (when the new one comes you use that box to return the defective phone).
Really? Here it looks like the size of the IP5.I have trouble visualizing Fumma with a S4. IMO, I'd go with an HTC One in place of an IP5. The S4, with all its bells and whistles will be a huge pain in the ass to learn. But even the One has a very large screen, and that doesn't seem to be something anyone not watching tons of porn really wants.