Something is laying eggs on my screen porch. Can you help me identify them? Thanks

This summer, tree removal from our yard resulted in extensive lawn damage. We did not attempt to repair the damage because of the dry conditions. How late into the fall can we over seed areas and expect any newly germinated grass to survive the winter? Would it be better to wait until next spring to repair the lawn?

Part of our Burford Holly hedge is dead, and the rest has gotten too leggy. We have loved it, and would like to know if it is native to Maryland, and if not, we would love some suggestions as to what native plants would be similar, evergreens, attractive to birds and pollinators, and would thrive in full sun in winter, part sun in summer. Thank you very much for your advice.