Won't start, cleaned battery terminals, batt

If the battery is in good condition check the following;
Make sure the battery terminals are clean and well connected to the posts.
Check the ground cable has a good clean connection to the chassis / engine. Don't assume its OK, loosen the bolt, wiggle it to clear any corrosion and retighten.
Look at your relay box(usually under the hood) locate the starter relay from the lid or owners handbook. Have someone turn the key and see if the click is the relay. If it is then the starter is next. If there is a second click from the solenoid atop the starter but no action you may have to remove the starter for further testing or replacement.
You can check the juice to the starter from the relay with a 12v test lamp and touch the smaller cable post on the starter when someone turns the key. If it lights OK then the starter is at fault.

possible bad ignition if the broke the ignition this could have damaged some of the wires. if the ignition is not damaged does the car click at all while trying to start? if so this means the relay is good . if not check any relays in the fuse area. or even a bad or broken ground wire. if it clicks it could also be the starter... this is a troubleshooting issue you will need to tackle if you feel ok doing so . if not please leave it to the pros..... good luck.

check starter,battery must have 12.5+V.

You can use some tool to check your car. Car Diagnostic Tool

The ignition start circuit is the path from the ignition key in cranking mode to the solenoid on the starter. The path travels through a starter relay and a neutral safety switch before it reaches the starter.
This must be the circuit not working on your car.Make sure battery and starter connections are tight.Check for power at the starter solenoid terminal with a testlight when someone turns key to crank. If you have power there, they sold you a defective starter. If you have no power there then it could be the relay or the neutral safety switch.

Tilt the steering wheel down all the way and see if it starts, if it does then there is a main power wire loose in the steering columb. Thats all which comes to my mind at this time.

could be starter relay or starter check batt terminals & grounds.

clean all connections very good ( batt post connectors,gound wire from batt to frame/motor, also clean starter connections,and alternator connections) I know pep boys checked but you cannot properly check a battery unless it has a full charge!!!!! If it wont accept a full charge then batt is bad, If it charges to a full charge and fails a draw test the batt is bad. also when a draw test is done you can have the charging system checked also to make sure batt is recieving the proper charge input. all inexpensive checks, get it running and take it to a garage, 3 min test usually not even a charge most of the time. NOT A DEALER, and have them show you what they are doing. if you are a female have a male friend go with you or have it done. I dont care what anybody says!!!!!! When it comes to a inexperienced female, the DEALERSHIP,the REPAIR GARAGES will all try to get some kind of MONEY out of you before you leave their place of business.

Check your starter.
Rate my help, best of luck....

You need to try and jump start the vehicle and see if it will start. It sounds like your battery is bad to me. The interior lights are not a good indication of battery conditon, because a starter can pull somewhere between 30-50 amps draw from the battery, where the interior lights may draw 2-3 amps.
Also check your battery terminals for condition. Baking soda and water solution will clean off corrosion, followed by a terminal cleaner from an auto parts store. I would start there. Let me know if that helps.