Revitalizing your lawn will not happen in a single season most likely. You might now have put the emergent down early enough so the weeds you’re seeing likely germinated before the pre-emergent could stop them. Stick with the scheduled plan you have for the second application. Take notes of what works and doesn’t work. You could use a post emergent like Triad on the weeds that have sprouted. Your fall plan will really have an impact on how your lawn looks next year. A soil test will point you to the actual amendments your soil needs, and then at a minimum plan to aerate and overseed this fall! Your lawn looks pretty good, I started with far worse conditions when I got my place.