Starting issues

ah ha - certainly sounds like the battery is highly suspect here - - are you SURE the charger works? when you jump started the car where did you connect? if it was to the battery in the car - - you almost surely need a new battery in your car. In fact - you jumpered from the battery post on the relay to the starter post on the relay and nothing happened? that my friend is a dead battery - you shouldn't have even needed to turn the key if you did it correctly, that move would have energized the starter key on or not