I can see your lawn completely green in a couple of months! I had a similar situation with "bald spots" and also, one of the problems was that part of the yard didn't have the sun at all... So, planting 2 different types of seeds helped a lot! I didn't expect that my shady part of the lawn will be nicer than the sunny...
Good luck!
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Thank you. I am hoping that I get the whole lawn looking good. I would love to see it become a great and maintained play area.