First of all, Mekayla. ~ Big Hug ~ I know it is tough for both of you. And I like the new Name.

I have been through it, myself. I am not sure on the laws in Ohio, but usually if child support is ordered it is till they are 21, if they live at home and are attending college. Spousal support ends at marriage or death.
And knowing how much you love your kids, I would opt for the child support, but there is no way of knowing if they get an part of it. You have to risk that. Anything you seetle on should be fair to both of you.
As for the visitation, I would get a lawyer. You still have rights regardless of what some bigoted lawyer says, even in Ohio. Dissolving a marriage might work if you weren't married very log. You ether need to research that or see a lawyer.
Does Ohio have "No Fault" divorce. Being she has cheated on your vows, it come back to bite her.
Sometimes just settling things out of court is best. My ex and I filed a joint petition.