I work with the devices of bigger brands, but I am trying to focus on Apple phones and tablets. I also do onboard reparations, but still have lot to learn.
Occasionally I also repair consoles, controllers, amplifiers, speakers, and easz kitchen electronics.
Answer to "Why is my iPod touch disabled for so long?"Plug it on your computer, wait for iTunes to recognize it. It will probably tell you it's disabled, but fear not! While still connected, hold the Power and Home button for about 10 seconds, until the screen goes completely back. When this happens, immediately release the Power button, but still keep pressing thew Home button. iTunes will eventually detect your iPod, and will tell you it is in recovery mode (DFU mode). You can let go of the Home button when this happens. Now, you need to Restore your iPod in iTunes. Just click on restore, it will download the software, and restore your iPod. Your iPod will no longer be disabled. BE WARNED, you lose ALL data on your device.
Answer to "My iPhone 5 screen doesn't turn on, but the phone connects to iTunes"From your description I assume your screen is totally gone. When batteries expand, they very often lift up the screen, pushing it out of its plastic frame, and in many cases damaging the screen assembly until a point of no return. I suggest that you get your hands on a screen that you know is 100% functional, and try your phone out with that new screen. If it works fine, then your screen is damaged and needs to be swapped out, what I strongly suspect is the case.