1997 Toyota Corolla

The jumper cables were placed incorrectly when a friend needed a jump. 3 days later my car acts like it wants to crank but doesn't. My radio and lights still come on. All fuses were checked and they're still good. If the computer was fried then nothing would come on. Is that true or not? It's got roughly about 132,000 miles and it's a 4 cylinder.