Black screen with a thick white vertical line down the middle?

Question

I turned my iPod touch 5 off, it was at about 10%. I turned it back on a few minutes later and there was the apple logo, as usual, but with small white writing on the black background. Then, I plugged it into my charger, and the logo and writing faded away. Instead, there then was a black screen with a thick white vertical line going down the middle, and it seems to be stuck like that. What happened and how do I fix it??
Note: My home button is stuck and does not work. Also, I never updated my iPod to iOS 7.

Answer 1

Try:                                               
- iOS: Not responding or does not turn on
When it says place the iPod in recovery mode,
Place the iPod in recovery mode using one of these programs:
For PC
RecBoot: Easy Way to Put iPhone into Recovery Mode
or
http://joshuabailey1997.wordpress.com/2010/09/02/recboot-v1-3/
If necessary:
Download QTMLClient.dll & iTunesMobileDevice.dll for RecBoot
and                                           
RecBoot tip
RecBoot may have problems on 64X windows, then try:       
Tenorshare ReiBoot – Enter & Exit iPhone, iPad, iPod Recovery Mode with a Single Click
For MAC or PC       
The Firmware Umbrella - TinyUmbrella
Installs blootware on PC too
- If not successful and you can't fully turn the iOS device fully off, let the battery fully drain. After charging for an least an hour try the above again.
- Try another cable       
- Try on another computer                            
- If still not successful that usually indicates a hardware problem and an appointment at the Genius Bar of an Apple store is in order.
Apple Retail Store - Genius Bar