No, that part should be correct I assume. But what I understood from your posts was that without setting the fuses at all, the PIC does not work in the circuit (as one would expect?). And that, if you try to have the configuration fuses programmed, the programming fails with an error message.
So I was wondering whether the error message is due to the fact that the PIC does not accept the fuse settings you are trying to program. And whether that may be due to the fact that you have those settings inverted.
EDIT: Just looked at the Miniprog software. Where is the dialog field where one can set the actual configuration fuse bits?! For other PICs (and other brands of MCU) there are dedicated checkboxes which mirror the MCU-specific config bits. It looks like the PIC16F628A is not fully supported?