I accidentally marked the second reply as "solved" when all the responses should be "helpful". When I inserted the flash drive in question (which was SanDisk
not PNY) Finder opened and displayed the same "0 files, Zero KB Available". I closed Finder and opened Disk Utility. It showed up as "973.8 MB SanDisk U3 Cruzer." I thought it odd that the size would show up. I right clicked the icon for it on the desktop and it showed this capacity (also, it's formatted MS-DOS FAT-16). Oddly enough,I opened finder and the bottom read "0 files, 970.4 MB available"...that was it, I changed nothing about the drive in Disk Utility. To be on the safe side I erased it using Disk Utility in order to erase the Windows-only software on it (I remember a U3 window showing up on it when using Windows), and reformatted it to "Mac OS Extended" (which Help said was most common). I assume this means it will no longer work with Windows, but I have 2 other flash drives which work fine (one to keep in my room, one for my backpack), and this one can serve as a backup for anything I don't need to share with another computer. The only problem with this is that Disk Utility lists its capacity as 973.4MB, but only 950.2 is available. However, a mere 20 MB is nothing for me to care about as I will likely never need to fill up the entire drive.
As a side note, the main use of my flash drives is to share files with Windows, unfortunately, as I need to share files with fellow students as well as school computers. As an engineering student, almost all software I need to use is only available for Windows (there's less-popular PC/Mac alternatives, but we don't use them) and so I am just about the only student with a Mac (in my discipline, at least). Someday, when OS X has 90% marketshare I won't have these irritating, little compatibility issues.........someday!
And of course...thank you all for your help and quick responses!