You describe a bad ignitions switch. It is kinda hard to change. Before you go and change it test for voltage at the starter solenoid when you turn the key. The starter wires could be on backwards (probably not).
If the starter solenoid is not getting voltage when you turn the key then it is your switch.
To change:
1: disconnect battery.
2. loosen the two bolts that support the steering column. You will need to remove the dash panel cover under the column (the one with the a/c vent)
3. once the column drops you will see the switch on top of the column. it is a tight squeeze to get in there and unbolt.
4. be careful of the dimmer switch rod. it will fall out if not taped or held.
5. if it comes out you need to go down through the column to reinsert it. this requires a special tool to release a spring behind the star washer. this spring WILL break your nose if you do not use the tool. Good Luck.