The decision to charge with trespassing is up to the DA, although the property owner usually has to agree to proceeding with the charge. I think the owner has the right to obtain restraining orders forbidding any of the people who disrupted the place, from returning. I'd do at least that. Separate from obtaining a restraining order, he can certainly sue them for loss of revenue. Damages aren't much, probably, but defending the suit is a thorn in the side of the juvenile-acting disruptors.
I found it interesting that the instigating woman, Moran, is married to "a top researcher at the Ohio Republican Party."
Indeed—The “top researcher at the Ohio Republican Party” is a mole and needs to be bounced forthwith.