I have not personally owned a Firecat, but a few friends had them and also the Cougar Speed Flite. Very nice bows, good performance for the time, and still very usable today.
I have an older bow myself - a Darton Viper. I have tried to sell it a few times on Ebay. One time, I set a $50 opening bid, and didn't get a single bid. A few weeks later, I shot it against a nearly new Mathews Q2 XL that I had picked up, and it was clearly more accurate in my hands!
Older compounds just aren't worth much money to most of your buyers. I would agree that your best choice is to fix the bow up to shoot it and keep it for yourself, or maybe give it to a friend or family member that you would like to have shoot with you. That fine older bow will still get the job done quite nicely.

As Arthur said, you should probably stick to medium to heavy weight arrows due the the limb construction and teardrop string setup. Good luck with the bow.