No more hesitation problems

I had some hesitation problems in the past and the car would die. It's a 92 sentra xe 1.6l. I replaced the O2 sensor. My gas mileage improved by about 5 mpg but I still had the hesitation problems. This went on for about 3 fill ups.
I left my dome light on over the weekend and on Monday morning the car was dead. Probably since about Saturday. Once I jumped it and got going there was no more hesitation and no more sulfer smell. It has been really good. Can't wait to see if MPG goes up anymore. Last check it was right at 30mpg.