iOS has an accessibility feature called AssistiveTouch. This will place a soft button on the screen that you can use for your Home button. https://support.apple.com/en-us/HT202658
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or you could jailbreak your iPod as long as the firmware is under 4.3.4 install activator and create a specific action to simulate home button
dont go to apple unless you dont really want help. jailbreak it. http://www.ipodtouchfans.com/forums/showthread.php?t=155875then go to cydia and get the SBSettings app, it has a toggle for people with broken home button.
So, 1/2 of your buttons on your ipod arent working? I would go to an apple store and see if you can get a replacment.