1300 is ridiculously low for your height weight and activity level. Eat more. If you don't, you will probably fail at this.
I have been saying over and over and over again, all you have to do is eat a bit less than your maintenance calories to lose weight at a good pace and consistently without stress or hunger. Use an online calorie calculator and say you want to lose half a pound a week. You will lose faster than that but you will likely find the going much easier.
Then when your weight loss stalls after a while, as it will, reduce your calories a little bit more. I started at 1650 and am now doing 1400.