Device freezes when I try to delete apps
I have the 5th generation iPod touch with iOS 7.0.4 and whenever I hold down on an app and try to delete it, my iPod freezes for about a minute and then restarts. I can hold down the apps so they jiggle and I can move them, but whenever I press the 'x', I can't do anything else. Nothing works including the home button, locking, swiping, moving icons, etc.
I have tried
-restarting my iPod;
-closing all my apps (double tap home button, swipe apps so they close);
-going to Settings>General>Usage to delete apps, but it freezes as soon as I press on Usage
Memory is not a problem as I have 10G of free space.
I know backing it up and then erasing everything should work, but I don't have that option because my USB wire doesn't work when I plug it into the Mac. It works for charging via wall charger, but it's broken or something and doesn't let me connect to iTunes or the computer.