The grass has come in, although it isn't exactly what I'd hoped for.
The picture is a decent indication. The brown areas do have grass, but it's much more sparse. Various weeds have popped up too, which I then pulled but that killed some grass too. Mint plants that were part of the garden from the past fall also started to sprout. I probably should have done a better job of sifting through the old dirt to remove old plants. I continue to water the newly planted areas twice a day and hope for better results in the near future.
That was April. Today, that grass is full and lush. In fact, I've come to learn that once temperatures rise, the sun comes out, and we get some rain, the darn grass won't stop growing! I mow every weekend but I still feel that isn't enough.
I may post later on lawn care tips, but new rule #1 when planting new grass:
Wait until it is decently warm (above 70) with plenty of sunshine. Newly planted grass will take root and start growing with little effort in no time. If you do like I did and plant when it is still cool, you'll be out there watering twice a day for weeks, only seeing minimal results and probably second-guessing yourself the whole way.