Radio/tape Cd Player problems of the 2013 Nissan Sentra

My 2013 Nissan Sentra had no known problems, and I had no icons on my dashboard that something needed attention. . . No check engine light, no check transmission light. . None. And when I had taken my car to get an oil change, my car had no serious issues. And just recently as I had my foot on the break because I was parking my car's engine turned off,, but the radio was still on. I attempted several times to turn on until it did, but as soon as I shifted to reverse or drive, the engine would just turn off. And now my car turns on but makes a weird noise like something is dragging, but engine remains on, and every time I shift to drive or reverse my car turns off. Iv'e purchased my car new back in 2013, and it only has 73,000 miles. I don't drive long distances too often or get on the highway too much. I work about 20 minutes away from work with traffic. I have done my oil change at my Nissan dealership and nothing ever came up on their multi inspection. I just don't know what is wrong with my car.