Identifying grass is one of the toughest ID's to do for plants. Need the flowers and microscope and AWLs or close ups of the stems.
You have a cool season grass, thank goodness. Ohio, all lawns would be a mix of cool season grasses. You can find seed at your local sod company. 'Professional's Choice' is excellent if you have it available.
Cool season lawns are a mix of grasses. Kentucky blue, fescues...your lawn btw looks great in the pictures as a crop. What have you been doing for maintenance? Fertilizer? Aeration?
Mow no lower than 3". Ever. 3 1/2 inches is best. Aeration, pulling plugs out of the lawn, allowing them to disintegrate where they fall has to be once per year. Watering has to be deep (4 - 6" deep) and then you have to allow that soil to dry before watering again. The best trick is to walk on your lawn and if your footprints stay visible, that is the time to water and water again deeply. Don't water until those blades of grass stay down when stepped on.
I see a few spots but if you simply raked those spots clear of debris right down to the soil, you could then over seed a little using the correct grass seed choice. All the lawns where you live have the same species mix of grasses. You need to find a mix that says, "Zero Weed Seed" on the seed ingredient label. Do not use a seed mix from Home Depot or Lowes unless you talk to their garden aisle manager. If the label says, "Professional's Choice"...that is perfect. Zero weed seed.
You should get a couple of pH tests of the soil of your lawn. You should have a great gas powered Hydraulic non-push mower. With an extra set of sharpened blades. The other important machine is a blower. Gas powered, Stihl blower. Back pack is best. And one other critical machine is a gas powered line trimmer, Stihl. I've tested all the brands and Stihl is still the bestus. Honda makes a great mower. Make sure your mower can be raised to 3" cut. Or you will have to have a lawn equipment fix it company do a custom raise. If you want to have the least amount of work, the healthiest lawn with the least amount of work, you have to cut that grass high. It looks as if it has been cut high, and that is so important for these cool season grasses. They have huge root systems, genetically. If the top growth, the food making factories is too short, too wimpy to make food to feed these roots, your grass will be out competed by weeds.
Watering deeply and allowing the soil to dry in between waterings kills any weed seed trying to germinate. The height of the grass shades the weed seeds effectively. Just proper management easily eliminates weeds, promotes a yummy grass grass crop.
Ohio lawn care
This information is lacking, if you want to add or replace your lawn, please come back to get better information. But this article tells you the 4 or 5 types of species you will find in any lawn in your state.