I have a 91 cavalier that will not start. When you turn the key nothing, no sounds nothing. I have replaced the battery with a new battery. The battery and starter grounds seem ok. The fusible link on the battery seems ok. This is the first starting problem I have had with the car. When the key is not in the ignition the door chimes will go off when the door is opened. Could I have a bad ignition switch? Is this hard to fix? Does it cost a lot to fix? What do I have to do to trouble shoot this problem? Please I need help!