PIC16F84A-04/P is the label on the chip. When I program it (using IC Prog) I specify RC for the oscillator. I'm using an 8 pin to 18 pin adapter with the PIC, as I am designing for the PIC12C508A. This adapter board only has 2 caps and a resistor in it - no crystal.
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As you are using an external RC oscillator you can simply alter the values so it runs at the correct speed - or simply move to the 16F628 which has an internal oscillator, and is the modern replacement for the 16F84A.