re: apt-cache bin files getting corrupted
Check /etc/apt/sources.list on both machines.  If you are using the 
uchicago mirrors for deb and deb-src, that's why this is happening.  You 
want to switch to another set of mirrors since uchicago seems to have got 
itself corrupted.  For a little while I had this problem too but cleared 
it up by switching to another set of mirrors and running apt-get update.
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