It sounds like you are using Paradox through the BDE. First thing to do is to do a search on your C: drive for all files that end with *.LCK and delete them. These are record lock files which should be automatically created and delted when you open a live connection to a table. It shounds like the app crashed and did not clean up its locks.
Second step, go into the BDE Admin and switch tabs to the Configuration tab. Then expand the Configuration tree, then the Drivers tree, then the Native TRee, and finally the Paradox driver. Look at it's "Net Dir" and make sure it is pointing to a directory that exists and has full rights to. It sounds like it may be pointed to c:\apps\, which does not exist on your c: drive. If this app is run accross a network then you will need to change it to a common drive that every one has access to like X:\APPS\PARADOX.