Please clarify your question. What computer operating system is your Premiere Elements 11 running on?
a. Are you saying that you have created a movie using Premiere Elements 11 (assumed on Windows for now) and you cannot get it to play when you import it into iPhone 5 just iPhone 4?
b. Are you saying that you cannot import iPhone 5 footage into Premiere Elements 11 Windows, but you can import iPhone 4 footage into Premiere Elements 11 Windows?
Also important details
a. What are the properties of the movie involved?
Frame Rate (variable or constant)
Interlaced or Progressive
Pixel Aspect Ratio
b. If the movie involved was exported from Premiere Elements 11, define the export settings.
We will be watching for your details and then, based on them, we can plan troubleshooting strategy.