Welcome to our little niche in the auto world. Sounds like a good find, if the car was only driven for 6 years, though apparently, it had some problems if it was parked.
I've never pulled one out of storage that's been sitting that long, but 2 obvious things that need to be drained are the oil pan and the fuel tank. I think I'd pull all the plugs, put some auto trans fluid, Lucas Oil or Marvel Mystery Oil into each cylinder, let it sit for a few days, and try to turn the engine over by hand. If a manual, put it in one of the higher gears and try to move the car forward by hand. If an automatic, you'd need to put a wrench on the crank and turn it. I think I'd do that at least once a day for maybe a week, rotating it maybe a half dozen times each day. For a manual, you're probably going to have some issues with the clutch master and slave cylinders, too.
After you've changed the oil and got the engine rotating smoothly, pull the distributor, and drive the oil pump with a power drill to get oil circulated throughout the engine. You may have to fashion a drive rod to fit into the oil pump. Next, I'd probably replace the screens on the fuel pump while the tank's out, and replace the fuel filter.
In all probability, the front brake pistons are stuck. The 86's used phenolic pistons which were bad to stick after sitting for a while. Often, the rear ones work just fine.
Our club is fortunate to have 2 members who work on Fieros, and they often have replacement used or rebuilt parts on hand. One of them is over in Douglas County. We also have a cash account set up with Main Auto Parts which will give you a discount on new parts.
Don't be afraid to ask for help.
Charlie
VP-Georgia Fiero Club