Answer to: nano 4g reboots at any button pushRun all the tests in Diagnostics mode. To get there, hold down select and menu for about 7 seconds, (like you would for a reboot) But immediately after, hold down select and << (the previous button). There are also many tutorials on YouTube if you can't get it.
Answer to: iPod touch will not sync after restoreRestoring it in DFU mode should fix it. Connect to iTunes and then follow this tutorial: http://www.youtube.com/watch?v=Rb_ss0blj...
Answer to: Does the iPod Touch 4 have the same glass as the iPhone 4?No, It doesn't. It uses the same glass as the previous generation iPod touch. It doesn't have the aluminosilicate glass (very strong type of glass), nor the oleophobic coating (Fingerprint resistant) that is used in the iPhone 4.