My car won't turn over/maybe won't even crank

What is your question?

Hey, I am not familiar with difference between a car not cranking and a car not turning over, but here is my issue. I had a brake light plug go bad- causing my battery to die. After this my car started struggling to turn over/crank. If I would hold the key it would eventually turn over. But after a couple days of going through this, it stopped altogether. It makes the same noise but doesn't ever turn over. The lights on my car still work. I was also low on gas the night before, and was to lazy to stop that night - assuming I would just get gas in the morning before work. This all started to occur once it started getting cold outside as well. Any help would be greatly appreciated. I do have a recording of the sound when I try to crank it.

How long has your 2001 Nissan Maxima had this problem?

A few weeks, then its been a couple more since it stopped working,