Can changing the name of the computer make FCP not see files...
Well it shouldn't prevent files from being "seen", although you may have to tell it where to look for them as obviously the file path has now changed
... and after my trying to rectify the "You do not have permissions to..." relative to the Drop Boxes for a couple of hours, she tried and ...
Playing with permissions, on the other hand, can certainly prevent files from being seen ... my guess is that this is most likely the cause of your current predicament