Try to create a new empty database and look at files which will be appear.
But i doubt that no .dbf is used. Maybe i overlook a problem.. because all this look like .dbf and maybe .dct files are corrupted. At any rate try the following:
open database MyDBC excl
validate database
I am not sure, but it can be also hardware problems.
Another recommended solution: third-party tools. It can solve any problem with no troubles and difficult actions. I dealt with this - Recovery Toolbox for DBF