Feeding the lawn now and again in a month will help it a lot. If you are going to seed the lawn, remember that grass seed needs to be kept constantly moist to sprout. Intermittent watering or relying on rain won’t work. Don’t seed more area than you can keep moist. This may require watering 2 or 3 times a day until the grass is well established. HERE’S A LINK to more on starting a lawn from seed.