Car will start w/o a key

What is your question?

Hi! I bought this car yesterday and am aware that I'm going to have to put some money into it. My newest problem is I went to start the car and couldn't get the key in the ignition but you can still turn the lock. I turned the mechanism all the way forward and the car started without a key. Is this fixable for a reasonable amount of money? I already planned on dropping another 1500 or so to get all the fluids changed and new wires and hoses etc. My stereo also turns on and off on it's own. Did I buy a car not worth owning?