Car completely shuts off at random times with all electrical power gone and then randomly starts back up.Sometimes it takes several trys with key to get any power. Has 160000 miles and has been doing this for the last 25000 miles since i have owned. Have replaced battery twice and cleaned battery contacts. When running shows about 13.5 volts. My daughter usually drives but recently i have noticed headlights and taillights will not turn off when car is running. Alternator looks like original and wondering if it can cause a random no electric situation at times. Car is a 98 lsc. Any ideas would be appreciated.