I don't like to quibble but there are no software differences between the 16F84 and 16F84A. The 84A can run at 20 mhz while the 84 can only run at 10 mhz. If you use the same clock frequency as the non-A design, the hex file should run just fine.
Now, you need to tell your programmer that you are programming a 16F84A - I believe the programming algorithm is different. Most programmers will allow you to do this (use an F84 hex with an F84A chip).
There are also some differences in the port input high voltage minimums though they shouldn't cause a problem working with CMOS.
There is a microchip migration document (84 to 84A) you can look for more detail.
I'm sure your hardware is in error. Like I said earlier, without more information, it is hard to help you.
Do all the other columns work? If one fails to light up, I'd look for a bad connection.
Phil
ps, good luck, I'm gone for a week...