1986 Chevy Spectrum

Ok, your post is a little confusing. You said the battery died, and then it was jump started wrongly and now the battery is fully charged? Is this a new battery or did it die?
Fill in a few details, like did it ever run after it died the first time. You state that after the jumper was hooked up wrong, it wont start at all now? Would it turn over before, but just not start, and now it wont turn over?

Ok, First off I would check the ground cable from the battery to the engine and body ground. If this cable is corroded, or has a loose connection, it may cause starting troubles.
If that is good, you are going to need a second person and a volt meter. On your starter, there should be 2 power wires attached. One large coming from the battery, and one small coming from the ignition switch. Check for voltage at all times from the battery. It should be 12 volts on the stud if you connect the red lead of the meter to the stud, and the black meter to any ground point. Second check for 12 volts on the small wire coming from the igntion switch. This wire will only have 12 volts when start switch is turned to the start positon. If you have a clutch, it must be pressed in while holding the start switch to start to check for voltage.
If you have volts at the starter in both places, the starter is bad. If you do not have volts on either wire, you must track down on where you are loosing voltage.
Good luck and lets us know what you find.